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Finding the Fourth Proportional to 89,808.14, 123,934.47 and 49,523.60

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Solution

The fourth proportional to 89,808.14, 123,934.47 and 49,523.60 is: 68,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,808.14 : 123,934.47 = 49,523.60 : x
  2. Step 2: Convert to fraction form
    89,808.14/123,934.47 = 49,523.60/x
  3. Step 3: Cross multiply
    89,808.14x = 123,934.47 × 49,523.60
  4. Step 4: Simplify right side
    89,808.14x = 6,137,681,118.49
  5. Step 5: Solve for x
    x = 6,137,681,118.49/89,808.14
  6. Step 6: Final answer
    x = 68,342.15

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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.