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Finding the Fourth Proportional to 75,414.42, 104,065.83 and 43,585.38

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Solution

The fourth proportional to 75,414.42, 104,065.83 and 43,585.38 is: 60,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,414.42 : 104,065.83 = 43,585.38 : x
  2. Step 2: Convert to fraction form
    75,414.42/104,065.83 = 43,585.38/x
  3. Step 3: Cross multiply
    75,414.42x = 104,065.83 × 43,585.38
  4. Step 4: Simplify right side
    75,414.42x = 4,535,748,745.57
  5. Step 5: Solve for x
    x = 4,535,748,745.57/75,414.42
  6. Step 6: Final answer
    x = 60,144.32

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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.