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Finding the Fourth Proportional to 33,097.84, 49,647.28 and 9,724.80

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Solution

The fourth proportional to 33,097.84, 49,647.28 and 9,724.80 is: 14,587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,097.84 : 49,647.28 = 9,724.80 : x
  2. Step 2: Convert to fraction form
    33,097.84/49,647.28 = 9,724.80/x
  3. Step 3: Cross multiply
    33,097.84x = 49,647.28 × 9,724.80
  4. Step 4: Simplify right side
    33,097.84x = 482,809,868.54
  5. Step 5: Solve for x
    x = 482,809,868.54/33,097.84
  6. Step 6: Final answer
    x = 14,587.35

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Why These Related Problems?

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