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Finding the Fourth Proportional to 73,072.80, 109,414.80 and 46,634.40

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Solution

The fourth proportional to 73,072.80, 109,414.80 and 46,634.40 is: 69,827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,072.80 : 109,414.80 = 46,634.40 : x
  2. Step 2: Convert to fraction form
    73,072.80/109,414.80 = 46,634.40/x
  3. Step 3: Cross multiply
    73,072.80x = 109,414.80 × 46,634.40
  4. Step 4: Simplify right side
    73,072.80x = 5,102,493,549.12
  5. Step 5: Solve for x
    x = 5,102,493,549.12/73,072.80
  6. Step 6: Final answer
    x = 69,827.54

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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.