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Finding the Fourth Proportional to 29,298.71, 43,957.49 and 9,572.78

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Solution

The fourth proportional to 29,298.71, 43,957.49 and 9,572.78 is: 14,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,298.71 : 43,957.49 = 9,572.78 : x
  2. Step 2: Convert to fraction form
    29,298.71/43,957.49 = 9,572.78/x
  3. Step 3: Cross multiply
    29,298.71x = 43,957.49 × 9,572.78
  4. Step 4: Simplify right side
    29,298.71x = 420,795,443.15
  5. Step 5: Solve for x
    x = 420,795,443.15/29,298.71
  6. Step 6: Final answer
    x = 14,362.25

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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.