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Finding the Fourth Proportional to 52,286.37, 78,365.31 and 24,168.38

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Solution

The fourth proportional to 52,286.37, 78,365.31 and 24,168.38 is: 36,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,286.37 : 78,365.31 = 24,168.38 : x
  2. Step 2: Convert to fraction form
    52,286.37/78,365.31 = 24,168.38/x
  3. Step 3: Cross multiply
    52,286.37x = 78,365.31 × 24,168.38
  4. Step 4: Simplify right side
    52,286.37x = 1,893,962,549.24
  5. Step 5: Solve for x
    x = 1,893,962,549.24/52,286.37
  6. Step 6: Final answer
    x = 36,222.88

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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.