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Finding the Fourth Proportional to 31,470.78, 43,430.71 and 17,324.70

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Solution

The fourth proportional to 31,470.78, 43,430.71 and 17,324.70 is: 23,908.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,470.78 : 43,430.71 = 17,324.70 : x
  2. Step 2: Convert to fraction form
    31,470.78/43,430.71 = 17,324.70/x
  3. Step 3: Cross multiply
    31,470.78x = 43,430.71 × 17,324.70
  4. Step 4: Simplify right side
    31,470.78x = 752,424,021.54
  5. Step 5: Solve for x
    x = 752,424,021.54/31,470.78
  6. Step 6: Final answer
    x = 23,908.65

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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.