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Finding the Fourth Proportional to 31,409.61, 43,344.75 and 17,262.15

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Solution

The fourth proportional to 31,409.61, 43,344.75 and 17,262.15 is: 23,821.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409.61 : 43,344.75 = 17,262.15 : x
  2. Step 2: Convert to fraction form
    31,409.61/43,344.75 = 17,262.15/x
  3. Step 3: Cross multiply
    31,409.61x = 43,344.75 × 17,262.15
  4. Step 4: Simplify right side
    31,409.61x = 748,223,478.40
  5. Step 5: Solve for x
    x = 748,223,478.40/31,409.61
  6. Step 6: Final answer
    x = 23,821.49

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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.