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Finding the Fourth Proportional to 27,101.20, 40,624.80 and 13,057.24

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Solution

The fourth proportional to 27,101.20, 40,624.80 and 13,057.24 is: 19,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,101.20 : 40,624.80 = 13,057.24 : x
  2. Step 2: Convert to fraction form
    27,101.20/40,624.80 = 13,057.24/x
  3. Step 3: Cross multiply
    27,101.20x = 40,624.80 × 13,057.24
  4. Step 4: Simplify right side
    27,101.20x = 530,447,763.55
  5. Step 5: Solve for x
    x = 530,447,763.55/27,101.20
  6. Step 6: Final answer
    x = 19,572.85

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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.