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Finding the Fourth Proportional to 31,714.07, 47,567.33 and 8,342.33

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Solution

The fourth proportional to 31,714.07, 47,567.33 and 8,342.33 is: 12,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714.07 : 47,567.33 = 8,342.33 : x
  2. Step 2: Convert to fraction form
    31,714.07/47,567.33 = 8,342.33/x
  3. Step 3: Cross multiply
    31,714.07x = 47,567.33 × 8,342.33
  4. Step 4: Simplify right side
    31,714.07x = 396,822,441.29
  5. Step 5: Solve for x
    x = 396,822,441.29/31,714.07
  6. Step 6: Final answer
    x = 12,512.50

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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.