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Finding the Fourth Proportional to 32,239.47, 48,324.33 and 13,529.67

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Solution

The fourth proportional to 32,239.47, 48,324.33 and 13,529.67 is: 20,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,239.47 : 48,324.33 = 13,529.67 : x
  2. Step 2: Convert to fraction form
    32,239.47/48,324.33 = 13,529.67/x
  3. Step 3: Cross multiply
    32,239.47x = 48,324.33 × 13,529.67
  4. Step 4: Simplify right side
    32,239.47x = 653,812,237.87
  5. Step 5: Solve for x
    x = 653,812,237.87/32,239.47
  6. Step 6: Final answer
    x = 20,279.87

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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.