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Finding the Fourth Proportional to 97,991.50, 146,987.97 and 24,119.50

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Solution

The fourth proportional to 97,991.50, 146,987.97 and 24,119.50 is: 36,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,991.50 : 146,987.97 = 24,119.50 : x
  2. Step 2: Convert to fraction form
    97,991.50/146,987.97 = 24,119.50/x
  3. Step 3: Cross multiply
    97,991.50x = 146,987.97 × 24,119.50
  4. Step 4: Simplify right side
    97,991.50x = 3,545,276,342.42
  5. Step 5: Solve for x
    x = 3,545,276,342.42/97,991.50
  6. Step 6: Final answer
    x = 36,179.43

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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.