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Finding the Fourth Proportional to 75,189.66, 103,761.66 and 41,200.26

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Solution

The fourth proportional to 75,189.66, 103,761.66 and 41,200.26 is: 56,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,189.66 : 103,761.66 = 41,200.26 : x
  2. Step 2: Convert to fraction form
    75,189.66/103,761.66 = 41,200.26/x
  3. Step 3: Cross multiply
    75,189.66x = 103,761.66 × 41,200.26
  4. Step 4: Simplify right side
    75,189.66x = 4,275,007,370.03
  5. Step 5: Solve for x
    x = 4,275,007,370.03/75,189.66
  6. Step 6: Final answer
    x = 56,856.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.