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Finding the Fourth Proportional to 74,229.84, 111,356.28 and 24,978

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Solution

The fourth proportional to 74,229.84, 111,356.28 and 24,978 is: 37,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,229.84 : 111,356.28 = 24,978 : x
  2. Step 2: Convert to fraction form
    74,229.84/111,356.28 = 24,978/x
  3. Step 3: Cross multiply
    74,229.84x = 111,356.28 × 24,978
  4. Step 4: Simplify right side
    74,229.84x = 2,781,457,161.84
  5. Step 5: Solve for x
    x = 2,781,457,161.84/74,229.84
  6. Step 6: Final answer
    x = 37,470.88

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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.