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Finding the Fourth Proportional to 50,465.50, 69,642.42 and 28,109.50

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Solution

The fourth proportional to 50,465.50, 69,642.42 and 28,109.50 is: 38,791.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,465.50 : 69,642.42 = 28,109.50 : x
  2. Step 2: Convert to fraction form
    50,465.50/69,642.42 = 28,109.50/x
  3. Step 3: Cross multiply
    50,465.50x = 69,642.42 × 28,109.50
  4. Step 4: Simplify right side
    50,465.50x = 1,957,613,604.99
  5. Step 5: Solve for x
    x = 1,957,613,604.99/50,465.50
  6. Step 6: Final answer
    x = 38,791.13

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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.