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Finding the Fourth Proportional to 48,948.60, 67,548.96 and 27,727.82

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Solution

The fourth proportional to 48,948.60, 67,548.96 and 27,727.82 is: 38,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,948.60 : 67,548.96 = 27,727.82 : x
  2. Step 2: Convert to fraction form
    48,948.60/67,548.96 = 27,727.82/x
  3. Step 3: Cross multiply
    48,948.60x = 67,548.96 × 27,727.82
  4. Step 4: Simplify right side
    48,948.60x = 1,872,985,404.07
  5. Step 5: Solve for x
    x = 1,872,985,404.07/48,948.60
  6. Step 6: Final answer
    x = 38,264.33

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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.