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Finding the Fourth Proportional to 31,290.86, 43,174.91 and 17,866.48

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Solution

The fourth proportional to 31,290.86, 43,174.91 and 17,866.48 is: 24,652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,290.86 : 43,174.91 = 17,866.48 : x
  2. Step 2: Convert to fraction form
    31,290.86/43,174.91 = 17,866.48/x
  3. Step 3: Cross multiply
    31,290.86x = 43,174.91 × 17,866.48
  4. Step 4: Simplify right side
    31,290.86x = 771,383,360.81
  5. Step 5: Solve for x
    x = 771,383,360.81/31,290.86
  6. Step 6: Final answer
    x = 24,652.04

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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.