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Finding the Fourth Proportional to 31,456.64, 43,411.32 and 17,310.08

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Solution

The fourth proportional to 31,456.64, 43,411.32 and 17,310.08 is: 23,888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,456.64 : 43,411.32 = 17,310.08 : x
  2. Step 2: Convert to fraction form
    31,456.64/43,411.32 = 17,310.08/x
  3. Step 3: Cross multiply
    31,456.64x = 43,411.32 × 17,310.08
  4. Step 4: Simplify right side
    31,456.64x = 751,453,422.11
  5. Step 5: Solve for x
    x = 751,453,422.11/31,456.64
  6. Step 6: Final answer
    x = 23,888.55

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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.