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Finding the Fourth Proportional to 61,166.97, 84,411.88 and 34,311.47

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Solution

The fourth proportional to 61,166.97, 84,411.88 and 34,311.47 is: 47,350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,166.97 : 84,411.88 = 34,311.47 : x
  2. Step 2: Convert to fraction form
    61,166.97/84,411.88 = 34,311.47/x
  3. Step 3: Cross multiply
    61,166.97x = 84,411.88 × 34,311.47
  4. Step 4: Simplify right side
    61,166.97x = 2,896,295,382.61
  5. Step 5: Solve for x
    x = 2,896,295,382.61/61,166.97
  6. Step 6: Final answer
    x = 47,350.64

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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.