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Finding the Fourth Proportional to 48,878.74, 67,452.67 and 27,657.58

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Solution

The fourth proportional to 48,878.74, 67,452.67 and 27,657.58 is: 38,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,878.74 : 67,452.67 = 27,657.58 : x
  2. Step 2: Convert to fraction form
    48,878.74/67,452.67 = 27,657.58/x
  3. Step 3: Cross multiply
    48,878.74x = 67,452.67 × 27,657.58
  4. Step 4: Simplify right side
    48,878.74x = 1,865,577,616.74
  5. Step 5: Solve for x
    x = 1,865,577,616.74/48,878.74
  6. Step 6: Final answer
    x = 38,167.47

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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.