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Finding the Fourth Proportional to 31,713.76, 47,567.04 and 8,342

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Solution

The fourth proportional to 31,713.76, 47,567.04 and 8,342 is: 12,512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,713.76 : 47,567.04 = 8,342 : x
  2. Step 2: Convert to fraction form
    31,713.76/47,567.04 = 8,342/x
  3. Step 3: Cross multiply
    31,713.76x = 47,567.04 × 8,342
  4. Step 4: Simplify right side
    31,713.76x = 396,804,247.68
  5. Step 5: Solve for x
    x = 396,804,247.68/31,713.76
  6. Step 6: Final answer
    x = 12,512.05

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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.