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Finding the Fourth Proportional to 50,649.72, 75,862.26 and 40,764.12

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Solution

The fourth proportional to 50,649.72, 75,862.26 and 40,764.12 is: 61,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,649.72 : 75,862.26 = 40,764.12 : x
  2. Step 2: Convert to fraction form
    50,649.72/75,862.26 = 40,764.12/x
  3. Step 3: Cross multiply
    50,649.72x = 75,862.26 × 40,764.12
  4. Step 4: Simplify right side
    50,649.72x = 3,092,458,270.11
  5. Step 5: Solve for x
    x = 3,092,458,270.11/50,649.72
  6. Step 6: Final answer
    x = 61,055.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.