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Finding the Fourth Proportional to 57,038, 85,481.52 and 41,295.68

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Solution

The fourth proportional to 57,038, 85,481.52 and 41,295.68 is: 61,888.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,038 : 85,481.52 = 41,295.68 : x
  2. Step 2: Convert to fraction form
    57,038/85,481.52 = 41,295.68/x
  3. Step 3: Cross multiply
    57,038x = 85,481.52 × 41,295.68
  4. Step 4: Simplify right side
    57,038x = 3,530,017,495.83
  5. Step 5: Solve for x
    x = 3,530,017,495.83/57,038
  6. Step 6: Final answer
    x = 61,888.87

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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.