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Finding the Fourth Proportional to 57,839.68, 86,768.16 and 18,398.08

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Solution

The fourth proportional to 57,839.68, 86,768.16 and 18,398.08 is: 27,599.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,839.68 : 86,768.16 = 18,398.08 : x
  2. Step 2: Convert to fraction form
    57,839.68/86,768.16 = 18,398.08/x
  3. Step 3: Cross multiply
    57,839.68x = 86,768.16 × 18,398.08
  4. Step 4: Simplify right side
    57,839.68x = 1,596,367,549.13
  5. Step 5: Solve for x
    x = 1,596,367,549.13/57,839.68
  6. Step 6: Final answer
    x = 27,599.87

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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.