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Finding the Fourth Proportional to 32,449.38, 44,757.05 and 21,097.83

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Solution

The fourth proportional to 32,449.38, 44,757.05 and 21,097.83 is: 29,099.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,449.38 : 44,757.05 = 21,097.83 : x
  2. Step 2: Convert to fraction form
    32,449.38/44,757.05 = 21,097.83/x
  3. Step 3: Cross multiply
    32,449.38x = 44,757.05 × 21,097.83
  4. Step 4: Simplify right side
    32,449.38x = 944,276,526.71
  5. Step 5: Solve for x
    x = 944,276,526.71/32,449.38
  6. Step 6: Final answer
    x = 29,099.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.