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Finding the Fourth Proportional to 30,019.74, 41,429.20 and 19,932.38

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Solution

The fourth proportional to 30,019.74, 41,429.20 and 19,932.38 is: 27,507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,019.74 : 41,429.20 = 19,932.38 : x
  2. Step 2: Convert to fraction form
    30,019.74/41,429.20 = 19,932.38/x
  3. Step 3: Cross multiply
    30,019.74x = 41,429.20 × 19,932.38
  4. Step 4: Simplify right side
    30,019.74x = 825,782,557.50
  5. Step 5: Solve for x
    x = 825,782,557.50/30,019.74
  6. Step 6: Final answer
    x = 27,507.98

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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.