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Finding the Fourth Proportional to 36,861.28, 55,291.68 and 9,159.04

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Solution

The fourth proportional to 36,861.28, 55,291.68 and 9,159.04 is: 13,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,861.28 : 55,291.68 = 9,159.04 : x
  2. Step 2: Convert to fraction form
    36,861.28/55,291.68 = 9,159.04/x
  3. Step 3: Cross multiply
    36,861.28x = 55,291.68 × 9,159.04
  4. Step 4: Simplify right side
    36,861.28x = 506,418,708.79
  5. Step 5: Solve for x
    x = 506,418,708.79/36,861.28
  6. Step 6: Final answer
    x = 13,738.50

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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.