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Finding the Fourth Proportional to 30,593.04, 42,211.98 and 19,998.24

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Solution

The fourth proportional to 30,593.04, 42,211.98 and 19,998.24 is: 27,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,593.04 : 42,211.98 = 19,998.24 : x
  2. Step 2: Convert to fraction form
    30,593.04/42,211.98 = 19,998.24/x
  3. Step 3: Cross multiply
    30,593.04x = 42,211.98 × 19,998.24
  4. Step 4: Simplify right side
    30,593.04x = 844,165,306.92
  5. Step 5: Solve for x
    x = 844,165,306.92/30,593.04
  6. Step 6: Final answer
    x = 27,593.38

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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.