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Finding the Fourth Proportional to 75,101.57, 103,640.37 and 41,567.57

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Solution

The fourth proportional to 75,101.57, 103,640.37 and 41,567.57 is: 57,363.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,101.57 : 103,640.37 = 41,567.57 : x
  2. Step 2: Convert to fraction form
    75,101.57/103,640.37 = 41,567.57/x
  3. Step 3: Cross multiply
    75,101.57x = 103,640.37 × 41,567.57
  4. Step 4: Simplify right side
    75,101.57x = 4,308,078,334.80
  5. Step 5: Solve for x
    x = 4,308,078,334.80/75,101.57
  6. Step 6: Final answer
    x = 57,363.36

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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.