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Finding the Fourth Proportional to 29,437.68, 44,150.22 and 9,711.48

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Solution

The fourth proportional to 29,437.68, 44,150.22 and 9,711.48 is: 14,565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,437.68 : 44,150.22 = 9,711.48 : x
  2. Step 2: Convert to fraction form
    29,437.68/44,150.22 = 9,711.48/x
  3. Step 3: Cross multiply
    29,437.68x = 44,150.22 × 9,711.48
  4. Step 4: Simplify right side
    29,437.68x = 428,763,978.53
  5. Step 5: Solve for x
    x = 428,763,978.53/29,437.68
  6. Step 6: Final answer
    x = 14,565.14

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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.