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Finding the Fourth Proportional to 32,414.99, 48,627.67 and 13,695.20

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Solution

The fourth proportional to 32,414.99, 48,627.67 and 13,695.20 is: 20,544.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.99 : 48,627.67 = 13,695.20 : x
  2. Step 2: Convert to fraction form
    32,414.99/48,627.67 = 13,695.20/x
  3. Step 3: Cross multiply
    32,414.99x = 48,627.67 × 13,695.20
  4. Step 4: Simplify right side
    32,414.99x = 665,965,354.57
  5. Step 5: Solve for x
    x = 665,965,354.57/32,414.99
  6. Step 6: Final answer
    x = 20,544.98

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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.