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Finding the Fourth Proportional to 32,585.12, 48,877.88 and 9,211.76

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Solution

The fourth proportional to 32,585.12, 48,877.88 and 9,211.76 is: 13,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,585.12 : 48,877.88 = 9,211.76 : x
  2. Step 2: Convert to fraction form
    32,585.12/48,877.88 = 9,211.76/x
  3. Step 3: Cross multiply
    32,585.12x = 48,877.88 × 9,211.76
  4. Step 4: Simplify right side
    32,585.12x = 450,251,299.87
  5. Step 5: Solve for x
    x = 450,251,299.87/32,585.12
  6. Step 6: Final answer
    x = 13,817.70

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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.