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Finding the Fourth Proportional to 47,452.86, 71,187.84 and 15,859.80

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Solution

The fourth proportional to 47,452.86, 71,187.84 and 15,859.80 is: 23,792.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,452.86 : 71,187.84 = 15,859.80 : x
  2. Step 2: Convert to fraction form
    47,452.86/71,187.84 = 15,859.80/x
  3. Step 3: Cross multiply
    47,452.86x = 71,187.84 × 15,859.80
  4. Step 4: Simplify right side
    47,452.86x = 1,129,024,904.83
  5. Step 5: Solve for x
    x = 1,129,024,904.83/47,452.86
  6. Step 6: Final answer
    x = 23,792.56

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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.