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Finding the Fourth Proportional to 38,118.38, 52,603.38 and 23,214.38

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Solution

The fourth proportional to 38,118.38, 52,603.38 and 23,214.38 is: 32,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,118.38 : 52,603.38 = 23,214.38 : x
  2. Step 2: Convert to fraction form
    38,118.38/52,603.38 = 23,214.38/x
  3. Step 3: Cross multiply
    38,118.38x = 52,603.38 × 23,214.38
  4. Step 4: Simplify right side
    38,118.38x = 1,221,154,589.59
  5. Step 5: Solve for x
    x = 1,221,154,589.59/38,118.38
  6. Step 6: Final answer
    x = 32,035.85

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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.