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Finding the Fourth Proportional to 52,178.32, 78,216 and 33,404.92

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Solution

The fourth proportional to 52,178.32, 78,216 and 33,404.92 is: 50,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,178.32 : 78,216 = 33,404.92 : x
  2. Step 2: Convert to fraction form
    52,178.32/78,216 = 33,404.92/x
  3. Step 3: Cross multiply
    52,178.32x = 78,216 × 33,404.92
  4. Step 4: Simplify right side
    52,178.32x = 2,612,799,222.72
  5. Step 5: Solve for x
    x = 2,612,799,222.72/52,178.32
  6. Step 6: Final answer
    x = 50,074.42

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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.