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Finding the Fourth Proportional to 50,701.08, 69,950.16 and 30,550.38

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Solution

The fourth proportional to 50,701.08, 69,950.16 and 30,550.38 is: 42,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,701.08 : 69,950.16 = 30,550.38 : x
  2. Step 2: Convert to fraction form
    50,701.08/69,950.16 = 30,550.38/x
  3. Step 3: Cross multiply
    50,701.08x = 69,950.16 × 30,550.38
  4. Step 4: Simplify right side
    50,701.08x = 2,137,003,969.06
  5. Step 5: Solve for x
    x = 2,137,003,969.06/50,701.08
  6. Step 6: Final answer
    x = 42,149.08

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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.