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Finding the Fourth Proportional to 61,785.94, 85,249.31 and 34,927.87

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Solution

The fourth proportional to 61,785.94, 85,249.31 and 34,927.87 is: 48,191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,785.94 : 85,249.31 = 34,927.87 : x
  2. Step 2: Convert to fraction form
    61,785.94/85,249.31 = 34,927.87/x
  3. Step 3: Cross multiply
    61,785.94x = 85,249.31 × 34,927.87
  4. Step 4: Simplify right side
    61,785.94x = 2,977,576,349.59
  5. Step 5: Solve for x
    x = 2,977,576,349.59/61,785.94
  6. Step 6: Final answer
    x = 48,191.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.