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Finding the Fourth Proportional to 60,024.78, 82,738.49 and 47,257.74

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Solution

The fourth proportional to 60,024.78, 82,738.49 and 47,257.74 is: 65,140.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,024.78 : 82,738.49 = 47,257.74 : x
  2. Step 2: Convert to fraction form
    60,024.78/82,738.49 = 47,257.74/x
  3. Step 3: Cross multiply
    60,024.78x = 82,738.49 × 47,257.74
  4. Step 4: Simplify right side
    60,024.78x = 3,910,033,812.12
  5. Step 5: Solve for x
    x = 3,910,033,812.12/60,024.78
  6. Step 6: Final answer
    x = 65,140.33

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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.