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Finding the Fourth Proportional to 75,720.96, 113,549.04 and 33,600.96

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Solution

The fourth proportional to 75,720.96, 113,549.04 and 33,600.96 is: 50,387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,720.96 : 113,549.04 = 33,600.96 : x
  2. Step 2: Convert to fraction form
    75,720.96/113,549.04 = 33,600.96/x
  3. Step 3: Cross multiply
    75,720.96x = 113,549.04 × 33,600.96
  4. Step 4: Simplify right side
    75,720.96x = 3,815,356,751.08
  5. Step 5: Solve for x
    x = 3,815,356,751.08/75,720.96
  6. Step 6: Final answer
    x = 50,387.06

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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.