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Finding the Fourth Proportional to 32,002.34, 44,163.24 and 17,854.88

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Solution

The fourth proportional to 32,002.34, 44,163.24 and 17,854.88 is: 24,639.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.34 : 44,163.24 = 17,854.88 : x
  2. Step 2: Convert to fraction form
    32,002.34/44,163.24 = 17,854.88/x
  3. Step 3: Cross multiply
    32,002.34x = 44,163.24 × 17,854.88
  4. Step 4: Simplify right side
    32,002.34x = 788,529,350.61
  5. Step 5: Solve for x
    x = 788,529,350.61/32,002.34
  6. Step 6: Final answer
    x = 24,639.74

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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.