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Finding the Fourth Proportional to 82,043.52, 123,084.48 and 35,270.40

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Solution

The fourth proportional to 82,043.52, 123,084.48 and 35,270.40 is: 52,913.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,043.52 : 123,084.48 = 35,270.40 : x
  2. Step 2: Convert to fraction form
    82,043.52/123,084.48 = 35,270.40/x
  3. Step 3: Cross multiply
    82,043.52x = 123,084.48 × 35,270.40
  4. Step 4: Simplify right side
    82,043.52x = 4,341,238,843.39
  5. Step 5: Solve for x
    x = 4,341,238,843.39/82,043.52
  6. Step 6: Final answer
    x = 52,913.85

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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.