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Finding the Fourth Proportional to 35,842.62, 49,451.24 and 19,924

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Solution

The fourth proportional to 35,842.62, 49,451.24 and 19,924 is: 27,488.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842.62 : 49,451.24 = 19,924 : x
  2. Step 2: Convert to fraction form
    35,842.62/49,451.24 = 19,924/x
  3. Step 3: Cross multiply
    35,842.62x = 49,451.24 × 19,924
  4. Step 4: Simplify right side
    35,842.62x = 985,266,505.76
  5. Step 5: Solve for x
    x = 985,266,505.76/35,842.62
  6. Step 6: Final answer
    x = 27,488.69

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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.