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Finding the Fourth Proportional to 31,174.40, 42,975.92 and 19,229.68

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Solution

The fourth proportional to 31,174.40, 42,975.92 and 19,229.68 is: 26,509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,174.40 : 42,975.92 = 19,229.68 : x
  2. Step 2: Convert to fraction form
    31,174.40/42,975.92 = 19,229.68/x
  3. Step 3: Cross multiply
    31,174.40x = 42,975.92 × 19,229.68
  4. Step 4: Simplify right side
    31,174.40x = 826,413,189.31
  5. Step 5: Solve for x
    x = 826,413,189.31/31,174.40
  6. Step 6: Final answer
    x = 26,509.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.