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Finding the Fourth Proportional to 32,199.90, 48,294.38 and 8,507.72

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Solution

The fourth proportional to 32,199.90, 48,294.38 and 8,507.72 is: 12,760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,199.90 : 48,294.38 = 8,507.72 : x
  2. Step 2: Convert to fraction form
    32,199.90/48,294.38 = 8,507.72/x
  3. Step 3: Cross multiply
    32,199.90x = 48,294.38 × 8,507.72
  4. Step 4: Simplify right side
    32,199.90x = 410,874,778.60
  5. Step 5: Solve for x
    x = 410,874,778.60/32,199.90
  6. Step 6: Final answer
    x = 12,760.13

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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.