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Finding the Fourth Proportional to 57,104.56, 85,754.85 and 35,047.46

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Solution

The fourth proportional to 57,104.56, 85,754.85 and 35,047.46 is: 52,631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,104.56 : 85,754.85 = 35,047.46 : x
  2. Step 2: Convert to fraction form
    57,104.56/85,754.85 = 35,047.46/x
  3. Step 3: Cross multiply
    57,104.56x = 85,754.85 × 35,047.46
  4. Step 4: Simplify right side
    57,104.56x = 3,005,489,675.18
  5. Step 5: Solve for x
    x = 3,005,489,675.18/57,104.56
  6. Step 6: Final answer
    x = 52,631.34

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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.