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Finding the Fourth Proportional to 31,444.86, 47,167.26 and 8,071.29

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Solution

The fourth proportional to 31,444.86, 47,167.26 and 8,071.29 is: 12,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,444.86 : 47,167.26 = 8,071.29 : x
  2. Step 2: Convert to fraction form
    31,444.86/47,167.26 = 8,071.29/x
  3. Step 3: Cross multiply
    31,444.86x = 47,167.26 × 8,071.29
  4. Step 4: Simplify right side
    31,444.86x = 380,700,633.97
  5. Step 5: Solve for x
    x = 380,700,633.97/31,444.86
  6. Step 6: Final answer
    x = 12,106.93

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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.