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Finding the Fourth Proportional to 48,469.20, 66,894.48 and 31,524

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Solution

The fourth proportional to 48,469.20, 66,894.48 and 31,524 is: 43,507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,469.20 : 66,894.48 = 31,524 : x
  2. Step 2: Convert to fraction form
    48,469.20/66,894.48 = 31,524/x
  3. Step 3: Cross multiply
    48,469.20x = 66,894.48 × 31,524
  4. Step 4: Simplify right side
    48,469.20x = 2,108,781,587.52
  5. Step 5: Solve for x
    x = 2,108,781,587.52/48,469.20
  6. Step 6: Final answer
    x = 43,507.66

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