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Finding the Fourth Proportional to 32,306.16, 48,446.40 and 12,581.88

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Solution

The fourth proportional to 32,306.16, 48,446.40 and 12,581.88 is: 18,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,306.16 : 48,446.40 = 12,581.88 : x
  2. Step 2: Convert to fraction form
    32,306.16/48,446.40 = 12,581.88/x
  3. Step 3: Cross multiply
    32,306.16x = 48,446.40 × 12,581.88
  4. Step 4: Simplify right side
    32,306.16x = 609,546,791.23
  5. Step 5: Solve for x
    x = 609,546,791.23/32,306.16
  6. Step 6: Final answer
    x = 18,867.82

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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.