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Finding the Fourth Proportional to 52,176.30, 78,213 and 33,402.92

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Solution

The fourth proportional to 52,176.30, 78,213 and 33,402.92 is: 50,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,176.30 : 78,213 = 33,402.92 : x
  2. Step 2: Convert to fraction form
    52,176.30/78,213 = 33,402.92/x
  3. Step 3: Cross multiply
    52,176.30x = 78,213 × 33,402.92
  4. Step 4: Simplify right side
    52,176.30x = 2,612,542,581.96
  5. Step 5: Solve for x
    x = 2,612,542,581.96/52,176.30
  6. Step 6: Final answer
    x = 50,071.44

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