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Finding the Fourth Proportional to 74,647.70, 111,987.34 and 24,724.97

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Solution

The fourth proportional to 74,647.70, 111,987.34 and 24,724.97 is: 37,092.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,647.70 : 111,987.34 = 24,724.97 : x
  2. Step 2: Convert to fraction form
    74,647.70/111,987.34 = 24,724.97/x
  3. Step 3: Cross multiply
    74,647.70x = 111,987.34 × 24,724.97
  4. Step 4: Simplify right side
    74,647.70x = 2,768,882,938.32
  5. Step 5: Solve for x
    x = 2,768,882,938.32/74,647.70
  6. Step 6: Final answer
    x = 37,092.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.