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Finding the Fourth Proportional to 78,498, 108,327.24 and 44,966.16

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Solution

The fourth proportional to 78,498, 108,327.24 and 44,966.16 is: 62,053.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,498 : 108,327.24 = 44,966.16 : x
  2. Step 2: Convert to fraction form
    78,498/108,327.24 = 44,966.16/x
  3. Step 3: Cross multiply
    78,498x = 108,327.24 × 44,966.16
  4. Step 4: Simplify right side
    78,498x = 4,871,060,006.20
  5. Step 5: Solve for x
    x = 4,871,060,006.20/78,498
  6. Step 6: Final answer
    x = 62,053.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.