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Finding the Fourth Proportional to 31,407.09, 47,115.76 and 9,221.19

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Solution

The fourth proportional to 31,407.09, 47,115.76 and 9,221.19 is: 13,833.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.09 : 47,115.76 = 9,221.19 : x
  2. Step 2: Convert to fraction form
    31,407.09/47,115.76 = 9,221.19/x
  3. Step 3: Cross multiply
    31,407.09x = 47,115.76 × 9,221.19
  4. Step 4: Simplify right side
    31,407.09x = 434,463,374.95
  5. Step 5: Solve for x
    x = 434,463,374.95/31,407.09
  6. Step 6: Final answer
    x = 13,833.29

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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.