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Finding the Fourth Proportional to 52,286, 78,448.84 and 24,219.50

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Solution

The fourth proportional to 52,286, 78,448.84 and 24,219.50 is: 36,338.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,286 : 78,448.84 = 24,219.50 : x
  2. Step 2: Convert to fraction form
    52,286/78,448.84 = 24,219.50/x
  3. Step 3: Cross multiply
    52,286x = 78,448.84 × 24,219.50
  4. Step 4: Simplify right side
    52,286x = 1,899,991,680.38
  5. Step 5: Solve for x
    x = 1,899,991,680.38/52,286
  6. Step 6: Final answer
    x = 36,338.44

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Why These Related Problems?

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