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Finding the Fourth Proportional to 33,178.40, 45,795.60 and 21,856.16

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Solution

The fourth proportional to 33,178.40, 45,795.60 and 21,856.16 is: 30,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,178.40 : 45,795.60 = 21,856.16 : x
  2. Step 2: Convert to fraction form
    33,178.40/45,795.60 = 21,856.16/x
  3. Step 3: Cross multiply
    33,178.40x = 45,795.60 × 21,856.16
  4. Step 4: Simplify right side
    33,178.40x = 1,000,915,960.90
  5. Step 5: Solve for x
    x = 1,000,915,960.90/33,178.40
  6. Step 6: Final answer
    x = 30,167.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.