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Finding the Fourth Proportional to 48,726, 67,254.48 and 31,772.52

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Solution

The fourth proportional to 48,726, 67,254.48 and 31,772.52 is: 43,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,726 : 67,254.48 = 31,772.52 : x
  2. Step 2: Convert to fraction form
    48,726/67,254.48 = 31,772.52/x
  3. Step 3: Cross multiply
    48,726x = 67,254.48 × 31,772.52
  4. Step 4: Simplify right side
    48,726x = 2,136,844,310.89
  5. Step 5: Solve for x
    x = 2,136,844,310.89/48,726
  6. Step 6: Final answer
    x = 43,854.29

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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.