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Finding the Fourth Proportional to 48,690, 67,194.54 and 27,468.78

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Solution

The fourth proportional to 48,690, 67,194.54 and 27,468.78 is: 37,908.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,690 : 67,194.54 = 27,468.78 : x
  2. Step 2: Convert to fraction form
    48,690/67,194.54 = 27,468.78/x
  3. Step 3: Cross multiply
    48,690x = 67,194.54 × 27,468.78
  4. Step 4: Simplify right side
    48,690x = 1,845,752,036.46
  5. Step 5: Solve for x
    x = 1,845,752,036.46/48,690
  6. Step 6: Final answer
    x = 37,908.24

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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.