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Finding the Fourth Proportional to 30,409.02, 41,952.33 and 19,794.78

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Solution

The fourth proportional to 30,409.02, 41,952.33 and 19,794.78 is: 27,308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.02 : 41,952.33 = 19,794.78 : x
  2. Step 2: Convert to fraction form
    30,409.02/41,952.33 = 19,794.78/x
  3. Step 3: Cross multiply
    30,409.02x = 41,952.33 × 19,794.78
  4. Step 4: Simplify right side
    30,409.02x = 830,437,142.84
  5. Step 5: Solve for x
    x = 830,437,142.84/30,409.02
  6. Step 6: Final answer
    x = 27,308.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.