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Finding the Fourth Proportional to 31,718.52, 47,577.78 and 8,343

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Solution

The fourth proportional to 31,718.52, 47,577.78 and 8,343 is: 12,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,718.52 : 47,577.78 = 8,343 : x
  2. Step 2: Convert to fraction form
    31,718.52/47,577.78 = 8,343/x
  3. Step 3: Cross multiply
    31,718.52x = 47,577.78 × 8,343
  4. Step 4: Simplify right side
    31,718.52x = 396,941,418.54
  5. Step 5: Solve for x
    x = 396,941,418.54/31,718.52
  6. Step 6: Final answer
    x = 12,514.50

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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.