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Finding the Fourth Proportional to 97,881.60, 146,805.78 and 27,744.50

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Solution

The fourth proportional to 97,881.60, 146,805.78 and 27,744.50 is: 41,612.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,881.60 : 146,805.78 = 27,744.50 : x
  2. Step 2: Convert to fraction form
    97,881.60/146,805.78 = 27,744.50/x
  3. Step 3: Cross multiply
    97,881.60x = 146,805.78 × 27,744.50
  4. Step 4: Simplify right side
    97,881.60x = 4,073,052,963.21
  5. Step 5: Solve for x
    x = 4,073,052,963.21/97,881.60
  6. Step 6: Final answer
    x = 41,612.04

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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.