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Finding the Fourth Proportional to 30,477.24, 42,049.26 and 19,863

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Solution

The fourth proportional to 30,477.24, 42,049.26 and 19,863 is: 27,404.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.24 : 42,049.26 = 19,863 : x
  2. Step 2: Convert to fraction form
    30,477.24/42,049.26 = 19,863/x
  3. Step 3: Cross multiply
    30,477.24x = 42,049.26 × 19,863
  4. Step 4: Simplify right side
    30,477.24x = 835,224,451.38
  5. Step 5: Solve for x
    x = 835,224,451.38/30,477.24
  6. Step 6: Final answer
    x = 27,404.86

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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.