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Finding the Fourth Proportional to 57,548.84, 86,294.34 and 33,540.87

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Solution

The fourth proportional to 57,548.84, 86,294.34 and 33,540.87 is: 50,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,548.84 : 86,294.34 = 33,540.87 : x
  2. Step 2: Convert to fraction form
    57,548.84/86,294.34 = 33,540.87/x
  3. Step 3: Cross multiply
    57,548.84x = 86,294.34 × 33,540.87
  4. Step 4: Simplify right side
    57,548.84x = 2,894,387,239.68
  5. Step 5: Solve for x
    x = 2,894,387,239.68/57,548.84
  6. Step 6: Final answer
    x = 50,294.45

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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.