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Finding the Fourth Proportional to 99,967.60, 149,853.48 and 49,972.96

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Solution

The fourth proportional to 99,967.60, 149,853.48 and 49,972.96 is: 74,910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,967.60 : 149,853.48 = 49,972.96 : x
  2. Step 2: Convert to fraction form
    99,967.60/149,853.48 = 49,972.96/x
  3. Step 3: Cross multiply
    99,967.60x = 149,853.48 × 49,972.96
  4. Step 4: Simplify right side
    99,967.60x = 7,488,621,961.90
  5. Step 5: Solve for x
    x = 7,488,621,961.90/99,967.60
  6. Step 6: Final answer
    x = 74,910.49

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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.