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Finding the Fourth Proportional to 31,129.56, 46,693.17 and 17,096.13

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Solution

The fourth proportional to 31,129.56, 46,693.17 and 17,096.13 is: 25,643.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.56 : 46,693.17 = 17,096.13 : x
  2. Step 2: Convert to fraction form
    31,129.56/46,693.17 = 17,096.13/x
  3. Step 3: Cross multiply
    31,129.56x = 46,693.17 × 17,096.13
  4. Step 4: Simplify right side
    31,129.56x = 798,272,504.43
  5. Step 5: Solve for x
    x = 798,272,504.43/31,129.56
  6. Step 6: Final answer
    x = 25,643.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.