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Finding the Fourth Proportional to 31,470.90, 43,430.28 and 17,131.20

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Solution

The fourth proportional to 31,470.90, 43,430.28 and 17,131.20 is: 23,641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,470.90 : 43,430.28 = 17,131.20 : x
  2. Step 2: Convert to fraction form
    31,470.90/43,430.28 = 17,131.20/x
  3. Step 3: Cross multiply
    31,470.90x = 43,430.28 × 17,131.20
  4. Step 4: Simplify right side
    31,470.90x = 744,012,812.74
  5. Step 5: Solve for x
    x = 744,012,812.74/31,470.90
  6. Step 6: Final answer
    x = 23,641.29

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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.