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Finding the Fourth Proportional to 32,002.71, 48,009.69 and 10,937.80

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Solution

The fourth proportional to 32,002.71, 48,009.69 and 10,937.80 is: 16,408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.71 : 48,009.69 = 10,937.80 : x
  2. Step 2: Convert to fraction form
    32,002.71/48,009.69 = 10,937.80/x
  3. Step 3: Cross multiply
    32,002.71x = 48,009.69 × 10,937.80
  4. Step 4: Simplify right side
    32,002.71x = 525,120,387.28
  5. Step 5: Solve for x
    x = 525,120,387.28/32,002.71
  6. Step 6: Final answer
    x = 16,408.62

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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.