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Finding the Fourth Proportional to 32,071.43, 48,107.17 and 8,697.86

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Solution

The fourth proportional to 32,071.43, 48,107.17 and 8,697.86 is: 13,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,071.43 : 48,107.17 = 8,697.86 : x
  2. Step 2: Convert to fraction form
    32,071.43/48,107.17 = 8,697.86/x
  3. Step 3: Cross multiply
    32,071.43x = 48,107.17 × 8,697.86
  4. Step 4: Simplify right side
    32,071.43x = 418,429,602.07
  5. Step 5: Solve for x
    x = 418,429,602.07/32,071.43
  6. Step 6: Final answer
    x = 13,046.80

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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.