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Finding the Fourth Proportional to 31,506.31, 43,478.69 and 17,359.16

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Solution

The fourth proportional to 31,506.31, 43,478.69 and 17,359.16 is: 23,955.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,506.31 : 43,478.69 = 17,359.16 : x
  2. Step 2: Convert to fraction form
    31,506.31/43,478.69 = 17,359.16/x
  3. Step 3: Cross multiply
    31,506.31x = 43,478.69 × 17,359.16
  4. Step 4: Simplify right side
    31,506.31x = 754,753,232.11
  5. Step 5: Solve for x
    x = 754,753,232.11/31,506.31
  6. Step 6: Final answer
    x = 23,955.62

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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.