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Finding the Fourth Proportional to 32,107.20, 48,160.80 and 31,451.10

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Solution

The fourth proportional to 32,107.20, 48,160.80 and 31,451.10 is: 47,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,107.20 : 48,160.80 = 31,451.10 : x
  2. Step 2: Convert to fraction form
    32,107.20/48,160.80 = 31,451.10/x
  3. Step 3: Cross multiply
    32,107.20x = 48,160.80 × 31,451.10
  4. Step 4: Simplify right side
    32,107.20x = 1,514,710,136.88
  5. Step 5: Solve for x
    x = 1,514,710,136.88/32,107.20
  6. Step 6: Final answer
    x = 47,176.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.