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Finding the Fourth Proportional to 32,229.84, 48,346.56 and 8,855.76

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Solution

The fourth proportional to 32,229.84, 48,346.56 and 8,855.76 is: 13,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,229.84 : 48,346.56 = 8,855.76 : x
  2. Step 2: Convert to fraction form
    32,229.84/48,346.56 = 8,855.76/x
  3. Step 3: Cross multiply
    32,229.84x = 48,346.56 × 8,855.76
  4. Step 4: Simplify right side
    32,229.84x = 428,145,532.19
  5. Step 5: Solve for x
    x = 428,145,532.19/32,229.84
  6. Step 6: Final answer
    x = 13,284.13

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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.