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Finding the Fourth Proportional to 29,327.46, 43,981.92 and 9,601.47

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Solution

The fourth proportional to 29,327.46, 43,981.92 and 9,601.47 is: 14,399.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,327.46 : 43,981.92 = 9,601.47 : x
  2. Step 2: Convert to fraction form
    29,327.46/43,981.92 = 9,601.47/x
  3. Step 3: Cross multiply
    29,327.46x = 43,981.92 × 9,601.47
  4. Step 4: Simplify right side
    29,327.46x = 422,291,085.42
  5. Step 5: Solve for x
    x = 422,291,085.42/29,327.46
  6. Step 6: Final answer
    x = 14,399.17

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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.