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Finding the Fourth Proportional to 33,323.40, 49,966.20 and 13,578.84

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Solution

The fourth proportional to 33,323.40, 49,966.20 and 13,578.84 is: 20,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,323.40 : 49,966.20 = 13,578.84 : x
  2. Step 2: Convert to fraction form
    33,323.40/49,966.20 = 13,578.84/x
  3. Step 3: Cross multiply
    33,323.40x = 49,966.20 × 13,578.84
  4. Step 4: Simplify right side
    33,323.40x = 678,483,035.21
  5. Step 5: Solve for x
    x = 678,483,035.21/33,323.40
  6. Step 6: Final answer
    x = 20,360.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.