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Finding the Fourth Proportional to 41,157.60, 61,743.84 and 31,417.92

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Solution

The fourth proportional to 41,157.60, 61,743.84 and 31,417.92 is: 47,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,157.60 : 61,743.84 = 31,417.92 : x
  2. Step 2: Convert to fraction form
    41,157.60/61,743.84 = 31,417.92/x
  3. Step 3: Cross multiply
    41,157.60x = 61,743.84 × 31,417.92
  4. Step 4: Simplify right side
    41,157.60x = 1,939,863,025.61
  5. Step 5: Solve for x
    x = 1,939,863,025.61/41,157.60
  6. Step 6: Final answer
    x = 47,132.56

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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.