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Finding the Fourth Proportional to 81,957.25, 122,957 and 44,507.71

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Solution

The fourth proportional to 81,957.25, 122,957 and 44,507.71 is: 66,773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,957.25 : 122,957 = 44,507.71 : x
  2. Step 2: Convert to fraction form
    81,957.25/122,957 = 44,507.71/x
  3. Step 3: Cross multiply
    81,957.25x = 122,957 × 44,507.71
  4. Step 4: Simplify right side
    81,957.25x = 5,472,534,498.47
  5. Step 5: Solve for x
    x = 5,472,534,498.47/81,957.25
  6. Step 6: Final answer
    x = 66,773.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.