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Finding the Fourth Proportional to 75,822.88, 113,696.16 and 44,243.68

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Solution

The fourth proportional to 75,822.88, 113,696.16 and 44,243.68 is: 66,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,822.88 : 113,696.16 = 44,243.68 : x
  2. Step 2: Convert to fraction form
    75,822.88/113,696.16 = 44,243.68/x
  3. Step 3: Cross multiply
    75,822.88x = 113,696.16 × 44,243.68
  4. Step 4: Simplify right side
    75,822.88x = 5,030,336,520.27
  5. Step 5: Solve for x
    x = 5,030,336,520.27/75,822.88
  6. Step 6: Final answer
    x = 66,343.25

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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.