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Finding the Fourth Proportional to 32,114.38, 48,127.80 and 15,473.20

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Solution

The fourth proportional to 32,114.38, 48,127.80 and 15,473.20 is: 23,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.38 : 48,127.80 = 15,473.20 : x
  2. Step 2: Convert to fraction form
    32,114.38/48,127.80 = 15,473.20/x
  3. Step 3: Cross multiply
    32,114.38x = 48,127.80 × 15,473.20
  4. Step 4: Simplify right side
    32,114.38x = 744,691,074.96
  5. Step 5: Solve for x
    x = 744,691,074.96/32,114.38
  6. Step 6: Final answer
    x = 23,188.71

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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.