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Finding the Fourth Proportional to 62,157.24, 85,793.58 and 38,287.80

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Solution

The fourth proportional to 62,157.24, 85,793.58 and 38,287.80 is: 52,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,157.24 : 85,793.58 = 38,287.80 : x
  2. Step 2: Convert to fraction form
    62,157.24/85,793.58 = 38,287.80/x
  3. Step 3: Cross multiply
    62,157.24x = 85,793.58 × 38,287.80
  4. Step 4: Simplify right side
    62,157.24x = 3,284,847,432.32
  5. Step 5: Solve for x
    x = 3,284,847,432.32/62,157.24
  6. Step 6: Final answer
    x = 52,847.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.