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Finding the Fourth Proportional to 60,498, 83,487.24 and 34,002

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Solution

The fourth proportional to 60,498, 83,487.24 and 34,002 is: 46,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,498 : 83,487.24 = 34,002 : x
  2. Step 2: Convert to fraction form
    60,498/83,487.24 = 34,002/x
  3. Step 3: Cross multiply
    60,498x = 83,487.24 × 34,002
  4. Step 4: Simplify right side
    60,498x = 2,838,733,134.48
  5. Step 5: Solve for x
    x = 2,838,733,134.48/60,498
  6. Step 6: Final answer
    x = 46,922.76

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