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Finding the Fourth Proportional to 57,198.66, 85,827.90 and 41,533.10

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Solution

The fourth proportional to 57,198.66, 85,827.90 and 41,533.10 is: 62,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,198.66 : 85,827.90 = 41,533.10 : x
  2. Step 2: Convert to fraction form
    57,198.66/85,827.90 = 41,533.10/x
  3. Step 3: Cross multiply
    57,198.66x = 85,827.90 × 41,533.10
  4. Step 4: Simplify right side
    57,198.66x = 3,564,699,284.74
  5. Step 5: Solve for x
    x = 3,564,699,284.74/57,198.66
  6. Step 6: Final answer
    x = 62,321.38

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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.