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Finding the Fourth Proportional to 31,470.38, 43,428.28 and 17,130.48

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Solution

The fourth proportional to 31,470.38, 43,428.28 and 17,130.48 is: 23,639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,470.38 : 43,428.28 = 17,130.48 : x
  2. Step 2: Convert to fraction form
    31,470.38/43,428.28 = 17,130.48/x
  3. Step 3: Cross multiply
    31,470.38x = 43,428.28 × 17,130.48
  4. Step 4: Simplify right side
    31,470.38x = 743,947,281.97
  5. Step 5: Solve for x
    x = 743,947,281.97/31,470.38
  6. Step 6: Final answer
    x = 23,639.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.