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Finding the Fourth Proportional to 75,112.92, 103,655.70 and 41,578.92

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Solution

The fourth proportional to 75,112.92, 103,655.70 and 41,578.92 is: 57,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,112.92 : 103,655.70 = 41,578.92 : x
  2. Step 2: Convert to fraction form
    75,112.92/103,655.70 = 41,578.92/x
  3. Step 3: Cross multiply
    75,112.92x = 103,655.70 × 41,578.92
  4. Step 4: Simplify right side
    75,112.92x = 4,309,892,057.84
  5. Step 5: Solve for x
    x = 4,309,892,057.84/75,112.92
  6. Step 6: Final answer
    x = 57,378.84

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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.