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Finding the Fourth Proportional to 59,544.38, 82,169.12 and 33,702.38

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Solution

The fourth proportional to 59,544.38, 82,169.12 and 33,702.38 is: 46,508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,544.38 : 82,169.12 = 33,702.38 : x
  2. Step 2: Convert to fraction form
    59,544.38/82,169.12 = 33,702.38/x
  3. Step 3: Cross multiply
    59,544.38x = 82,169.12 × 33,702.38
  4. Step 4: Simplify right side
    59,544.38x = 2,769,294,327.15
  5. Step 5: Solve for x
    x = 2,769,294,327.15/59,544.38
  6. Step 6: Final answer
    x = 46,508.07

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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.