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Finding the Fourth Proportional to 29,301, 43,957.02 and 11,772.18

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Solution

The fourth proportional to 29,301, 43,957.02 and 11,772.18 is: 17,660.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,301 : 43,957.02 = 11,772.18 : x
  2. Step 2: Convert to fraction form
    29,301/43,957.02 = 11,772.18/x
  3. Step 3: Cross multiply
    29,301x = 43,957.02 × 11,772.18
  4. Step 4: Simplify right side
    29,301x = 517,469,951.70
  5. Step 5: Solve for x
    x = 517,469,951.70/29,301
  6. Step 6: Final answer
    x = 17,660.49

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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.