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Finding the Fourth Proportional to 32,358.38, 48,471.95 and 16,743.20

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Solution

The fourth proportional to 32,358.38, 48,471.95 and 16,743.20 is: 25,080.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,358.38 : 48,471.95 = 16,743.20 : x
  2. Step 2: Convert to fraction form
    32,358.38/48,471.95 = 16,743.20/x
  3. Step 3: Cross multiply
    32,358.38x = 48,471.95 × 16,743.20
  4. Step 4: Simplify right side
    32,358.38x = 811,575,227.16
  5. Step 5: Solve for x
    x = 811,575,227.16/32,358.38
  6. Step 6: Final answer
    x = 25,080.84

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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.