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Finding the Fourth Proportional to 57,034.26, 85,339.50 and 35,875.50

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Solution

The fourth proportional to 57,034.26, 85,339.50 and 35,875.50 is: 53,679.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,034.26 : 85,339.50 = 35,875.50 : x
  2. Step 2: Convert to fraction form
    57,034.26/85,339.50 = 35,875.50/x
  3. Step 3: Cross multiply
    57,034.26x = 85,339.50 × 35,875.50
  4. Step 4: Simplify right side
    57,034.26x = 3,061,597,232.25
  5. Step 5: Solve for x
    x = 3,061,597,232.25/57,034.26
  6. Step 6: Final answer
    x = 53,679.97

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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.