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Finding the Fourth Proportional to 31,470.64, 43,429.14 and 17,323.18

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Solution

The fourth proportional to 31,470.64, 43,429.14 and 17,323.18 is: 23,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,470.64 : 43,429.14 = 17,323.18 : x
  2. Step 2: Convert to fraction form
    31,470.64/43,429.14 = 17,323.18/x
  3. Step 3: Cross multiply
    31,470.64x = 43,429.14 × 17,323.18
  4. Step 4: Simplify right side
    31,470.64x = 752,330,809.47
  5. Step 5: Solve for x
    x = 752,330,809.47/31,470.64
  6. Step 6: Final answer
    x = 23,905.80

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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.