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Finding the Fourth Proportional to 38,419.82, 53,019.12 and 21,424.27

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Solution

The fourth proportional to 38,419.82, 53,019.12 and 21,424.27 is: 29,565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,419.82 : 53,019.12 = 21,424.27 : x
  2. Step 2: Convert to fraction form
    38,419.82/53,019.12 = 21,424.27/x
  3. Step 3: Cross multiply
    38,419.82x = 53,019.12 × 21,424.27
  4. Step 4: Simplify right side
    38,419.82x = 1,135,895,896.31
  5. Step 5: Solve for x
    x = 1,135,895,896.31/38,419.82
  6. Step 6: Final answer
    x = 29,565.36

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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.