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Finding the Fourth Proportional to 31,438.86, 43,385.40 and 17,291.40

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Solution

The fourth proportional to 31,438.86, 43,385.40 and 17,291.40 is: 23,862.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,438.86 : 43,385.40 = 17,291.40 : x
  2. Step 2: Convert to fraction form
    31,438.86/43,385.40 = 17,291.40/x
  3. Step 3: Cross multiply
    31,438.86x = 43,385.40 × 17,291.40
  4. Step 4: Simplify right side
    31,438.86x = 750,194,305.56
  5. Step 5: Solve for x
    x = 750,194,305.56/31,438.86
  6. Step 6: Final answer
    x = 23,862.01

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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.