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Finding the Fourth Proportional to 32,197.68, 44,432.14 and 17,855.20

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Solution

The fourth proportional to 32,197.68, 44,432.14 and 17,855.20 is: 24,639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197.68 : 44,432.14 = 17,855.20 : x
  2. Step 2: Convert to fraction form
    32,197.68/44,432.14 = 17,855.20/x
  3. Step 3: Cross multiply
    32,197.68x = 44,432.14 × 17,855.20
  4. Step 4: Simplify right side
    32,197.68x = 793,344,534.01
  5. Step 5: Solve for x
    x = 793,344,534.01/32,197.68
  6. Step 6: Final answer
    x = 24,639.80

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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.