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Finding the Fourth Proportional to 32,432.57, 48,653.87 and 13,712.67

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Solution

The fourth proportional to 32,432.57, 48,653.87 and 13,712.67 is: 20,571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,432.57 : 48,653.87 = 13,712.67 : x
  2. Step 2: Convert to fraction form
    32,432.57/48,653.87 = 13,712.67/x
  3. Step 3: Cross multiply
    32,432.57x = 48,653.87 × 13,712.67
  4. Step 4: Simplify right side
    32,432.57x = 667,174,394.97
  5. Step 5: Solve for x
    x = 667,174,394.97/32,432.57
  6. Step 6: Final answer
    x = 20,571.12

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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.