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Finding the Fourth Proportional to 61,002, 84,176.76 and 34,143.12

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Solution

The fourth proportional to 61,002, 84,176.76 and 34,143.12 is: 47,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,002 : 84,176.76 = 34,143.12 : x
  2. Step 2: Convert to fraction form
    61,002/84,176.76 = 34,143.12/x
  3. Step 3: Cross multiply
    61,002x = 84,176.76 × 34,143.12
  4. Step 4: Simplify right side
    61,002x = 2,874,057,217.89
  5. Step 5: Solve for x
    x = 2,874,057,217.89/61,002
  6. Step 6: Final answer
    x = 47,114.15

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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.