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Finding the Fourth Proportional to 75,846.44, 104,669.22 and 41,854.40

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Solution

The fourth proportional to 75,846.44, 104,669.22 and 41,854.40 is: 57,759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,846.44 : 104,669.22 = 41,854.40 : x
  2. Step 2: Convert to fraction form
    75,846.44/104,669.22 = 41,854.40/x
  3. Step 3: Cross multiply
    75,846.44x = 104,669.22 × 41,854.40
  4. Step 4: Simplify right side
    75,846.44x = 4,380,867,401.57
  5. Step 5: Solve for x
    x = 4,380,867,401.57/75,846.44
  6. Step 6: Final answer
    x = 57,759.70

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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.