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Finding the Fourth Proportional to 106,470.62, 159,693.48 and 27,578.78

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Solution

The fourth proportional to 106,470.62, 159,693.48 and 27,578.78 is: 41,364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,470.62 : 159,693.48 = 27,578.78 : x
  2. Step 2: Convert to fraction form
    106,470.62/159,693.48 = 27,578.78/x
  3. Step 3: Cross multiply
    106,470.62x = 159,693.48 × 27,578.78
  4. Step 4: Simplify right side
    106,470.62x = 4,404,151,352.35
  5. Step 5: Solve for x
    x = 4,404,151,352.35/106,470.62
  6. Step 6: Final answer
    x = 41,364.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.