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Finding the Fourth Proportional to 74,571.75, 111,856.98 and 21,980.46

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Solution

The fourth proportional to 74,571.75, 111,856.98 and 21,980.46 is: 32,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,571.75 : 111,856.98 = 21,980.46 : x
  2. Step 2: Convert to fraction form
    74,571.75/111,856.98 = 21,980.46/x
  3. Step 3: Cross multiply
    74,571.75x = 111,856.98 × 21,980.46
  4. Step 4: Simplify right side
    74,571.75x = 2,458,667,874.61
  5. Step 5: Solve for x
    x = 2,458,667,874.61/74,571.75
  6. Step 6: Final answer
    x = 32,970.50

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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.