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Finding the Fourth Proportional to 30,579.38, 42,182.42 and 19,244.66

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Solution

The fourth proportional to 30,579.38, 42,182.42 and 19,244.66 is: 26,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,579.38 : 42,182.42 = 19,244.66 : x
  2. Step 2: Convert to fraction form
    30,579.38/42,182.42 = 19,244.66/x
  3. Step 3: Cross multiply
    30,579.38x = 42,182.42 × 19,244.66
  4. Step 4: Simplify right side
    30,579.38x = 811,786,330.88
  5. Step 5: Solve for x
    x = 811,786,330.88/30,579.38
  6. Step 6: Final answer
    x = 26,546.85

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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.