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Finding the Fourth Proportional to 48,885.09, 67,462.38 and 31,900.20

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Solution

The fourth proportional to 48,885.09, 67,462.38 and 31,900.20 is: 44,022.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,885.09 : 67,462.38 = 31,900.20 : x
  2. Step 2: Convert to fraction form
    48,885.09/67,462.38 = 31,900.20/x
  3. Step 3: Cross multiply
    48,885.09x = 67,462.38 × 31,900.20
  4. Step 4: Simplify right side
    48,885.09x = 2,152,063,414.48
  5. Step 5: Solve for x
    x = 2,152,063,414.48/48,885.09
  6. Step 6: Final answer
    x = 44,022.90

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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.