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Finding the Fourth Proportional to 33,307.84, 49,927.04 and 13,578.24

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Solution

The fourth proportional to 33,307.84, 49,927.04 and 13,578.24 is: 20,353.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,307.84 : 49,927.04 = 13,578.24 : x
  2. Step 2: Convert to fraction form
    33,307.84/49,927.04 = 13,578.24/x
  3. Step 3: Cross multiply
    33,307.84x = 49,927.04 × 13,578.24
  4. Step 4: Simplify right side
    33,307.84x = 677,921,331.61
  5. Step 5: Solve for x
    x = 677,921,331.61/33,307.84
  6. Step 6: Final answer
    x = 20,353.21

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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.