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Finding the Fourth Proportional to 47,251.70, 70,878.92 and 17,663.87

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Solution

The fourth proportional to 47,251.70, 70,878.92 and 17,663.87 is: 26,496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,251.70 : 70,878.92 = 17,663.87 : x
  2. Step 2: Convert to fraction form
    47,251.70/70,878.92 = 17,663.87/x
  3. Step 3: Cross multiply
    47,251.70x = 70,878.92 × 17,663.87
  4. Step 4: Simplify right side
    47,251.70x = 1,251,995,585.91
  5. Step 5: Solve for x
    x = 1,251,995,585.91/47,251.70
  6. Step 6: Final answer
    x = 26,496.31

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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.