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Finding the Fourth Proportional to 31,080.64, 46,616.11 and 17,047.57

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Solution

The fourth proportional to 31,080.64, 46,616.11 and 17,047.57 is: 25,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,080.64 : 46,616.11 = 17,047.57 : x
  2. Step 2: Convert to fraction form
    31,080.64/46,616.11 = 17,047.57/x
  3. Step 3: Cross multiply
    31,080.64x = 46,616.11 × 17,047.57
  4. Step 4: Simplify right side
    31,080.64x = 794,691,398.35
  5. Step 5: Solve for x
    x = 794,691,398.35/31,080.64
  6. Step 6: Final answer
    x = 25,568.69

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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.