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Finding the Fourth Proportional to 32,184.17, 48,268.17 and 15,306.76

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Solution

The fourth proportional to 32,184.17, 48,268.17 and 15,306.76 is: 22,956.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184.17 : 48,268.17 = 15,306.76 : x
  2. Step 2: Convert to fraction form
    32,184.17/48,268.17 = 15,306.76/x
  3. Step 3: Cross multiply
    32,184.17x = 48,268.17 × 15,306.76
  4. Step 4: Simplify right side
    32,184.17x = 738,829,397.21
  5. Step 5: Solve for x
    x = 738,829,397.21/32,184.17
  6. Step 6: Final answer
    x = 22,956.30

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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.