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Finding the Fourth Proportional to 31,435.38, 47,160.54 and 9,249.48

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Solution

The fourth proportional to 31,435.38, 47,160.54 and 9,249.48 is: 13,876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,435.38 : 47,160.54 = 9,249.48 : x
  2. Step 2: Convert to fraction form
    31,435.38/47,160.54 = 9,249.48/x
  3. Step 3: Cross multiply
    31,435.38x = 47,160.54 × 9,249.48
  4. Step 4: Simplify right side
    31,435.38x = 436,210,471.52
  5. Step 5: Solve for x
    x = 436,210,471.52/31,435.38
  6. Step 6: Final answer
    x = 13,876.42

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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.