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Finding the Fourth Proportional to 82,091,264.80, 123,059,914.80 and 31,007,610.40

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Solution

The fourth proportional to 82,091,264.80, 123,059,914.80 and 31,007,610.40 is: 46,482,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,091,264.80 : 123,059,914.80 = 31,007,610.40 : x
  2. Step 2: Convert to fraction form
    82,091,264.80/123,059,914.80 = 31,007,610.40/x
  3. Step 3: Cross multiply
    82,091,264.80x = 123,059,914.80 × 31,007,610.40
  4. Step 4: Simplify right side
    82,091,264.80x = 3,815,793,893,975,593.50
  5. Step 5: Solve for x
    x = 3,815,793,893,975,593.50/82,091,264.80
  6. Step 6: Final answer
    x = 46,482,337.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.