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Finding the Fourth Proportional to 106,076.52, 159,120.45 and 27,191.43

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Solution

The fourth proportional to 106,076.52, 159,120.45 and 27,191.43 is: 40,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,076.52 : 159,120.45 = 27,191.43 : x
  2. Step 2: Convert to fraction form
    106,076.52/159,120.45 = 27,191.43/x
  3. Step 3: Cross multiply
    106,076.52x = 159,120.45 × 27,191.43
  4. Step 4: Simplify right side
    106,076.52x = 4,326,712,577.74
  5. Step 5: Solve for x
    x = 4,326,712,577.74/106,076.52
  6. Step 6: Final answer
    x = 40,788.60

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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.