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Finding the Fourth Proportional to 36,433.62, 54,645.87 and 10,140.42

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Solution

The fourth proportional to 36,433.62, 54,645.87 and 10,140.42 is: 15,209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,433.62 : 54,645.87 = 10,140.42 : x
  2. Step 2: Convert to fraction form
    36,433.62/54,645.87 = 10,140.42/x
  3. Step 3: Cross multiply
    36,433.62x = 54,645.87 × 10,140.42
  4. Step 4: Simplify right side
    36,433.62x = 554,132,073.07
  5. Step 5: Solve for x
    x = 554,132,073.07/36,433.62
  6. Step 6: Final answer
    x = 15,209.36

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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.