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Finding the Fourth Proportional to 30,588, 42,207.78 and 17,843.88

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Solution

The fourth proportional to 30,588, 42,207.78 and 17,843.88 is: 24,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,588 : 42,207.78 = 17,843.88 : x
  2. Step 2: Convert to fraction form
    30,588/42,207.78 = 17,843.88/x
  3. Step 3: Cross multiply
    30,588x = 42,207.78 × 17,843.88
  4. Step 4: Simplify right side
    30,588x = 753,150,561.39
  5. Step 5: Solve for x
    x = 753,150,561.39/30,588
  6. Step 6: Final answer
    x = 24,622.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.