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Finding the Fourth Proportional to 32,232.97, 48,316.20 and 13,523.87

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Solution

The fourth proportional to 32,232.97, 48,316.20 and 13,523.87 is: 20,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,232.97 : 48,316.20 = 13,523.87 : x
  2. Step 2: Convert to fraction form
    32,232.97/48,316.20 = 13,523.87/x
  3. Step 3: Cross multiply
    32,232.97x = 48,316.20 × 13,523.87
  4. Step 4: Simplify right side
    32,232.97x = 653,421,940.07
  5. Step 5: Solve for x
    x = 653,421,940.07/32,232.97
  6. Step 6: Final answer
    x = 20,271.85

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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.