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Finding the Fourth Proportional to 75,122.30, 103,668.77 and 41,588.30

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Solution

The fourth proportional to 75,122.30, 103,668.77 and 41,588.30 is: 57,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,122.30 : 103,668.77 = 41,588.30 : x
  2. Step 2: Convert to fraction form
    75,122.30/103,668.77 = 41,588.30/x
  3. Step 3: Cross multiply
    75,122.30x = 103,668.77 × 41,588.30
  4. Step 4: Simplify right side
    75,122.30x = 4,311,407,907.39
  5. Step 5: Solve for x
    x = 4,311,407,907.39/75,122.30
  6. Step 6: Final answer
    x = 57,391.85

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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.