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Finding the Fourth Proportional to 31,761.12, 47,645.44 and 8,387.76

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Solution

The fourth proportional to 31,761.12, 47,645.44 and 8,387.76 is: 12,582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,761.12 : 47,645.44 = 8,387.76 : x
  2. Step 2: Convert to fraction form
    31,761.12/47,645.44 = 8,387.76/x
  3. Step 3: Cross multiply
    31,761.12x = 47,645.44 × 8,387.76
  4. Step 4: Simplify right side
    31,761.12x = 399,638,515.81
  5. Step 5: Solve for x
    x = 399,638,515.81/31,761.12
  6. Step 6: Final answer
    x = 12,582.63

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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.