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Finding the Fourth Proportional to 57,101.50, 85,603.02 and 27,478.60

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Solution

The fourth proportional to 57,101.50, 85,603.02 and 27,478.60 is: 41,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,101.50 : 85,603.02 = 27,478.60 : x
  2. Step 2: Convert to fraction form
    57,101.50/85,603.02 = 27,478.60/x
  3. Step 3: Cross multiply
    57,101.50x = 85,603.02 × 27,478.60
  4. Step 4: Simplify right side
    57,101.50x = 2,352,251,145.37
  5. Step 5: Solve for x
    x = 2,352,251,145.37/57,101.50
  6. Step 6: Final answer
    x = 41,194.21

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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.