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Finding the Fourth Proportional to 89,793.84, 123,907.04 and 52,064

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Solution

The fourth proportional to 89,793.84, 123,907.04 and 52,064 is: 71,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,793.84 : 123,907.04 = 52,064 : x
  2. Step 2: Convert to fraction form
    89,793.84/123,907.04 = 52,064/x
  3. Step 3: Cross multiply
    89,793.84x = 123,907.04 × 52,064
  4. Step 4: Simplify right side
    89,793.84x = 6,451,096,130.56
  5. Step 5: Solve for x
    x = 6,451,096,130.56/89,793.84
  6. Step 6: Final answer
    x = 71,843.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.