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Finding the Fourth Proportional to 57,844.88, 86,708.64 and 22,770.80

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Solution

The fourth proportional to 57,844.88, 86,708.64 and 22,770.80 is: 34,133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,844.88 : 86,708.64 = 22,770.80 : x
  2. Step 2: Convert to fraction form
    57,844.88/86,708.64 = 22,770.80/x
  3. Step 3: Cross multiply
    57,844.88x = 86,708.64 × 22,770.80
  4. Step 4: Simplify right side
    57,844.88x = 1,974,425,099.71
  5. Step 5: Solve for x
    x = 1,974,425,099.71/57,844.88
  6. Step 6: Final answer
    x = 34,133.10

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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.