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Finding the Fourth Proportional to 75,950.87, 113,941.49 and 23,358.38

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Solution

The fourth proportional to 75,950.87, 113,941.49 and 23,358.38 is: 35,042.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,950.87 : 113,941.49 = 23,358.38 : x
  2. Step 2: Convert to fraction form
    75,950.87/113,941.49 = 23,358.38/x
  3. Step 3: Cross multiply
    75,950.87x = 113,941.49 × 23,358.38
  4. Step 4: Simplify right side
    75,950.87x = 2,661,487,934.69
  5. Step 5: Solve for x
    x = 2,661,487,934.69/75,950.87
  6. Step 6: Final answer
    x = 35,042.23

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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.