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Finding the Fourth Proportional to 32,395.92, 48,593.88 and 9,022.38

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Solution

The fourth proportional to 32,395.92, 48,593.88 and 9,022.38 is: 13,533.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,395.92 : 48,593.88 = 9,022.38 : x
  2. Step 2: Convert to fraction form
    32,395.92/48,593.88 = 9,022.38/x
  3. Step 3: Cross multiply
    32,395.92x = 48,593.88 × 9,022.38
  4. Step 4: Simplify right side
    32,395.92x = 438,432,451.03
  5. Step 5: Solve for x
    x = 438,432,451.03/32,395.92
  6. Step 6: Final answer
    x = 13,533.57

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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.