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Finding the Fourth Proportional to 31,714.32, 47,567.84 and 8,342.58

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Solution

The fourth proportional to 31,714.32, 47,567.84 and 8,342.58 is: 12,512.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714.32 : 47,567.84 = 8,342.58 : x
  2. Step 2: Convert to fraction form
    31,714.32/47,567.84 = 8,342.58/x
  3. Step 3: Cross multiply
    31,714.32x = 47,567.84 × 8,342.58
  4. Step 4: Simplify right side
    31,714.32x = 396,838,510.63
  5. Step 5: Solve for x
    x = 396,838,510.63/31,714.32
  6. Step 6: Final answer
    x = 12,512.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.