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Finding the Fourth Proportional to 89,806.74, 123,975.81 and 52,067.22

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Solution

The fourth proportional to 89,806.74, 123,975.81 and 52,067.22 is: 71,877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,806.74 : 123,975.81 = 52,067.22 : x
  2. Step 2: Convert to fraction form
    89,806.74/123,975.81 = 52,067.22/x
  3. Step 3: Cross multiply
    89,806.74x = 123,975.81 × 52,067.22
  4. Step 4: Simplify right side
    89,806.74x = 6,455,075,773.95
  5. Step 5: Solve for x
    x = 6,455,075,773.95/89,806.74
  6. Step 6: Final answer
    x = 71,877.41

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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.