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Finding the Fourth Proportional to 32,003.65, 44,167.52 and 17,666.29

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Solution

The fourth proportional to 32,003.65, 44,167.52 and 17,666.29 is: 24,380.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.65 : 44,167.52 = 17,666.29 : x
  2. Step 2: Convert to fraction form
    32,003.65/44,167.52 = 17,666.29/x
  3. Step 3: Cross multiply
    32,003.65x = 44,167.52 × 17,666.29
  4. Step 4: Simplify right side
    32,003.65x = 780,276,216.90
  5. Step 5: Solve for x
    x = 780,276,216.90/32,003.65
  6. Step 6: Final answer
    x = 24,380.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.