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Finding the Fourth Proportional to 29,691.20, 44,565.60 and 14,916.80

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Solution

The fourth proportional to 29,691.20, 44,565.60 and 14,916.80 is: 22,389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,691.20 : 44,565.60 = 14,916.80 : x
  2. Step 2: Convert to fraction form
    29,691.20/44,565.60 = 14,916.80/x
  3. Step 3: Cross multiply
    29,691.20x = 44,565.60 × 14,916.80
  4. Step 4: Simplify right side
    29,691.20x = 664,776,142.08
  5. Step 5: Solve for x
    x = 664,776,142.08/29,691.20
  6. Step 6: Final answer
    x = 22,389.67

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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.