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Finding the Fourth Proportional to 75,113.38, 103,536.66 and 50,906.80

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Solution

The fourth proportional to 75,113.38, 103,536.66 and 50,906.80 is: 70,170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,113.38 : 103,536.66 = 50,906.80 : x
  2. Step 2: Convert to fraction form
    75,113.38/103,536.66 = 50,906.80/x
  3. Step 3: Cross multiply
    75,113.38x = 103,536.66 × 50,906.80
  4. Step 4: Simplify right side
    75,113.38x = 5,270,720,043.29
  5. Step 5: Solve for x
    x = 5,270,720,043.29/75,113.38
  6. Step 6: Final answer
    x = 70,170.19

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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.