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Finding the Fourth Proportional to 75,104.64, 103,642.80 and 41,112.24

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Solution

The fourth proportional to 75,104.64, 103,642.80 and 41,112.24 is: 56,734.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,104.64 : 103,642.80 = 41,112.24 : x
  2. Step 2: Convert to fraction form
    75,104.64/103,642.80 = 41,112.24/x
  3. Step 3: Cross multiply
    75,104.64x = 103,642.80 × 41,112.24
  4. Step 4: Simplify right side
    75,104.64x = 4,260,987,667.87
  5. Step 5: Solve for x
    x = 4,260,987,667.87/75,104.64
  6. Step 6: Final answer
    x = 56,734.01

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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.