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Finding the Fourth Proportional to 74,610.50, 111,915.78 and 24,677.20

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Solution

The fourth proportional to 74,610.50, 111,915.78 and 24,677.20 is: 37,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,610.50 : 111,915.78 = 24,677.20 : x
  2. Step 2: Convert to fraction form
    74,610.50/111,915.78 = 24,677.20/x
  3. Step 3: Cross multiply
    74,610.50x = 111,915.78 × 24,677.20
  4. Step 4: Simplify right side
    74,610.50x = 2,761,768,086.22
  5. Step 5: Solve for x
    x = 2,761,768,086.22/74,610.50
  6. Step 6: Final answer
    x = 37,015.81

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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.