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Finding the Fourth Proportional to 54,206.01, 74,809.98 and 30,338.55

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Solution

The fourth proportional to 54,206.01, 74,809.98 and 30,338.55 is: 41,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,206.01 : 74,809.98 = 30,338.55 : x
  2. Step 2: Convert to fraction form
    54,206.01/74,809.98 = 30,338.55/x
  3. Step 3: Cross multiply
    54,206.01x = 74,809.98 × 30,338.55
  4. Step 4: Simplify right side
    54,206.01x = 2,269,626,318.73
  5. Step 5: Solve for x
    x = 2,269,626,318.73/54,206.01
  6. Step 6: Final answer
    x = 41,870.38

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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.