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Finding the Fourth Proportional to 24,049.88, 36,074.80 and 15,782.20

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Solution

The fourth proportional to 24,049.88, 36,074.80 and 15,782.20 is: 23,673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,049.88 : 36,074.80 = 15,782.20 : x
  2. Step 2: Convert to fraction form
    24,049.88/36,074.80 = 15,782.20/x
  3. Step 3: Cross multiply
    24,049.88x = 36,074.80 × 15,782.20
  4. Step 4: Simplify right side
    24,049.88x = 569,339,708.56
  5. Step 5: Solve for x
    x = 569,339,708.56/24,049.88
  6. Step 6: Final answer
    x = 23,673.29

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1.5x scale

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.