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Finding the Fourth Proportional to 31,754.47, 47,631.73 and 8,063.79

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Solution

The fourth proportional to 31,754.47, 47,631.73 and 8,063.79 is: 12,095.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,754.47 : 47,631.73 = 8,063.79 : x
  2. Step 2: Convert to fraction form
    31,754.47/47,631.73 = 8,063.79/x
  3. Step 3: Cross multiply
    31,754.47x = 47,631.73 × 8,063.79
  4. Step 4: Simplify right side
    31,754.47x = 384,092,227.74
  5. Step 5: Solve for x
    x = 384,092,227.74/31,754.47
  6. Step 6: Final answer
    x = 12,095.69

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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.