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Finding the Fourth Proportional to 45,675.86, 63,029.18 and 27,768.38

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Solution

The fourth proportional to 45,675.86, 63,029.18 and 27,768.38 is: 38,318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,675.86 : 63,029.18 = 27,768.38 : x
  2. Step 2: Convert to fraction form
    45,675.86/63,029.18 = 27,768.38/x
  3. Step 3: Cross multiply
    45,675.86x = 63,029.18 × 27,768.38
  4. Step 4: Simplify right side
    45,675.86x = 1,750,218,221.33
  5. Step 5: Solve for x
    x = 1,750,218,221.33/45,675.86
  6. Step 6: Final answer
    x = 38,318.23

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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.