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Finding the Fourth Proportional to 67,404.96, 101,133.64 and 27,952

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Solution

The fourth proportional to 67,404.96, 101,133.64 and 27,952 is: 41,938.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,404.96 : 101,133.64 = 27,952 : x
  2. Step 2: Convert to fraction form
    67,404.96/101,133.64 = 27,952/x
  3. Step 3: Cross multiply
    67,404.96x = 101,133.64 × 27,952
  4. Step 4: Simplify right side
    67,404.96x = 2,826,887,505.28
  5. Step 5: Solve for x
    x = 2,826,887,505.28/67,404.96
  6. Step 6: Final answer
    x = 41,938.86

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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.