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Finding the Fourth Proportional to 50,151.40, 69,206.86 and 29,996.38

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Solution

The fourth proportional to 50,151.40, 69,206.86 and 29,996.38 is: 41,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,151.40 : 69,206.86 = 29,996.38 : x
  2. Step 2: Convert to fraction form
    50,151.40/69,206.86 = 29,996.38/x
  3. Step 3: Cross multiply
    50,151.40x = 69,206.86 × 29,996.38
  4. Step 4: Simplify right side
    50,151.40x = 2,075,954,837.15
  5. Step 5: Solve for x
    x = 2,075,954,837.15/50,151.40
  6. Step 6: Final answer
    x = 41,393.75

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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.