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Finding the Fourth Proportional to 32,524.83, 48,787.24 and 9,151.27

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Solution

The fourth proportional to 32,524.83, 48,787.24 and 9,151.27 is: 13,726.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,524.83 : 48,787.24 = 9,151.27 : x
  2. Step 2: Convert to fraction form
    32,524.83/48,787.24 = 9,151.27/x
  3. Step 3: Cross multiply
    32,524.83x = 48,787.24 × 9,151.27
  4. Step 4: Simplify right side
    32,524.83x = 446,465,205.79
  5. Step 5: Solve for x
    x = 446,465,205.79/32,524.83
  6. Step 6: Final answer
    x = 13,726.90

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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.