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Finding the Fourth Proportional to 32,480.43, 48,742.52 and 14,715.92

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Solution

The fourth proportional to 32,480.43, 48,742.52 and 14,715.92 is: 22,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,480.43 : 48,742.52 = 14,715.92 : x
  2. Step 2: Convert to fraction form
    32,480.43/48,742.52 = 14,715.92/x
  3. Step 3: Cross multiply
    32,480.43x = 48,742.52 × 14,715.92
  4. Step 4: Simplify right side
    32,480.43x = 717,290,707.63
  5. Step 5: Solve for x
    x = 717,290,707.63/32,480.43
  6. Step 6: Final answer
    x = 22,083.78

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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.