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Finding the Fourth Proportional to 30,398.38, 41,942.36 and 17,820.70

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Solution

The fourth proportional to 30,398.38, 41,942.36 and 17,820.70 is: 24,588.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,398.38 : 41,942.36 = 17,820.70 : x
  2. Step 2: Convert to fraction form
    30,398.38/41,942.36 = 17,820.70/x
  3. Step 3: Cross multiply
    30,398.38x = 41,942.36 × 17,820.70
  4. Step 4: Simplify right side
    30,398.38x = 747,442,154.55
  5. Step 5: Solve for x
    x = 747,442,154.55/30,398.38
  6. Step 6: Final answer
    x = 24,588.23

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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.