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Finding the Fourth Proportional to 48,695.16, 73,046.78 and 15,414.28

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Solution

The fourth proportional to 48,695.16, 73,046.78 and 15,414.28 is: 23,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,695.16 : 73,046.78 = 15,414.28 : x
  2. Step 2: Convert to fraction form
    48,695.16/73,046.78 = 15,414.28/x
  3. Step 3: Cross multiply
    48,695.16x = 73,046.78 × 15,414.28
  4. Step 4: Simplify right side
    48,695.16x = 1,125,963,520.02
  5. Step 5: Solve for x
    x = 1,125,963,520.02/48,695.16
  6. Step 6: Final answer
    x = 23,122.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.