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Finding the Fourth Proportional to 31,637.56, 47,456.80 and 8,264

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Solution

The fourth proportional to 31,637.56, 47,456.80 and 8,264 is: 12,396.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,637.56 : 47,456.80 = 8,264 : x
  2. Step 2: Convert to fraction form
    31,637.56/47,456.80 = 8,264/x
  3. Step 3: Cross multiply
    31,637.56x = 47,456.80 × 8,264
  4. Step 4: Simplify right side
    31,637.56x = 392,182,995.20
  5. Step 5: Solve for x
    x = 392,182,995.20/31,637.56
  6. Step 6: Final answer
    x = 12,396.12

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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.