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Finding the Fourth Proportional to 27,452.68, 41,170.80 and 11,657.50

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Solution

The fourth proportional to 27,452.68, 41,170.80 and 11,657.50 is: 17,482.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,452.68 : 41,170.80 = 11,657.50 : x
  2. Step 2: Convert to fraction form
    27,452.68/41,170.80 = 11,657.50/x
  3. Step 3: Cross multiply
    27,452.68x = 41,170.80 × 11,657.50
  4. Step 4: Simplify right side
    27,452.68x = 479,948,601.00
  5. Step 5: Solve for x
    x = 479,948,601.00/27,452.68
  6. Step 6: Final answer
    x = 17,482.76

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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.