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Finding the Fourth Proportional to 31,470.32, 43,429 and 17,324.08

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Solution

The fourth proportional to 31,470.32, 43,429 and 17,324.08 is: 23,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,470.32 : 43,429 = 17,324.08 : x
  2. Step 2: Convert to fraction form
    31,470.32/43,429 = 17,324.08/x
  3. Step 3: Cross multiply
    31,470.32x = 43,429 × 17,324.08
  4. Step 4: Simplify right side
    31,470.32x = 752,367,470.32
  5. Step 5: Solve for x
    x = 752,367,470.32/31,470.32
  6. Step 6: Final answer
    x = 23,907.21

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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.