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Finding the Fourth Proportional to 31,874.96, 47,779.50 and 12,148.22

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Solution

The fourth proportional to 31,874.96, 47,779.50 and 12,148.22 is: 18,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874.96 : 47,779.50 = 12,148.22 : x
  2. Step 2: Convert to fraction form
    31,874.96/47,779.50 = 12,148.22/x
  3. Step 3: Cross multiply
    31,874.96x = 47,779.50 × 12,148.22
  4. Step 4: Simplify right side
    31,874.96x = 580,435,877.49
  5. Step 5: Solve for x
    x = 580,435,877.49/31,874.96
  6. Step 6: Final answer
    x = 18,209.78

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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.