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Finding the Fourth Proportional to 31,417.50, 43,355.11 and 17,269.44

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Solution

The fourth proportional to 31,417.50, 43,355.11 and 17,269.44 is: 23,831.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,417.50 : 43,355.11 = 17,269.44 : x
  2. Step 2: Convert to fraction form
    31,417.50/43,355.11 = 17,269.44/x
  3. Step 3: Cross multiply
    31,417.50x = 43,355.11 × 17,269.44
  4. Step 4: Simplify right side
    31,417.50x = 748,718,470.84
  5. Step 5: Solve for x
    x = 748,718,470.84/31,417.50
  6. Step 6: Final answer
    x = 23,831.26

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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.