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Finding the Fourth Proportional to 84,256.38, 126,397.53 and 31,669.56

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Solution

The fourth proportional to 84,256.38, 126,397.53 and 31,669.56 is: 47,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,256.38 : 126,397.53 = 31,669.56 : x
  2. Step 2: Convert to fraction form
    84,256.38/126,397.53 = 31,669.56/x
  3. Step 3: Cross multiply
    84,256.38x = 126,397.53 × 31,669.56
  4. Step 4: Simplify right side
    84,256.38x = 4,002,954,160.19
  5. Step 5: Solve for x
    x = 4,002,954,160.19/84,256.38
  6. Step 6: Final answer
    x = 47,509.21

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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.