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Finding the Fourth Proportional to 32,250.62, 48,394.61 and 13,529

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Solution

The fourth proportional to 32,250.62, 48,394.61 and 13,529 is: 20,301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,250.62 : 48,394.61 = 13,529 : x
  2. Step 2: Convert to fraction form
    32,250.62/48,394.61 = 13,529/x
  3. Step 3: Cross multiply
    32,250.62x = 48,394.61 × 13,529
  4. Step 4: Simplify right side
    32,250.62x = 654,730,678.69
  5. Step 5: Solve for x
    x = 654,730,678.69/32,250.62
  6. Step 6: Final answer
    x = 20,301.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.