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Finding the Fourth Proportional to 61,350.76, 84,642.02 and 40,142.34

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Solution

The fourth proportional to 61,350.76, 84,642.02 and 40,142.34 is: 55,382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,350.76 : 84,642.02 = 40,142.34 : x
  2. Step 2: Convert to fraction form
    61,350.76/84,642.02 = 40,142.34/x
  3. Step 3: Cross multiply
    61,350.76x = 84,642.02 × 40,142.34
  4. Step 4: Simplify right side
    61,350.76x = 3,397,728,745.13
  5. Step 5: Solve for x
    x = 3,397,728,745.13/61,350.76
  6. Step 6: Final answer
    x = 55,382.02

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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.