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Finding the Fourth Proportional to 57,117.60, 85,679.76 and 22,057.44

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Solution

The fourth proportional to 57,117.60, 85,679.76 and 22,057.44 is: 33,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,117.60 : 85,679.76 = 22,057.44 : x
  2. Step 2: Convert to fraction form
    57,117.60/85,679.76 = 22,057.44/x
  3. Step 3: Cross multiply
    57,117.60x = 85,679.76 × 22,057.44
  4. Step 4: Simplify right side
    57,117.60x = 1,889,876,165.41
  5. Step 5: Solve for x
    x = 1,889,876,165.41/57,117.60
  6. Step 6: Final answer
    x = 33,087.46

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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.