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Finding the Fourth Proportional to 77,441.68, 106,902.14 and 52,325.20

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Solution

The fourth proportional to 77,441.68, 106,902.14 and 52,325.20 is: 72,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,441.68 : 106,902.14 = 52,325.20 : x
  2. Step 2: Convert to fraction form
    77,441.68/106,902.14 = 52,325.20/x
  3. Step 3: Cross multiply
    77,441.68x = 106,902.14 × 52,325.20
  4. Step 4: Simplify right side
    77,441.68x = 5,593,675,855.93
  5. Step 5: Solve for x
    x = 5,593,675,855.93/77,441.68
  6. Step 6: Final answer
    x = 72,230.82

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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.