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Finding the Fourth Proportional to 33,097.52, 49,656.36 and 9,724.16

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Solution

The fourth proportional to 33,097.52, 49,656.36 and 9,724.16 is: 14,589.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,097.52 : 49,656.36 = 9,724.16 : x
  2. Step 2: Convert to fraction form
    33,097.52/49,656.36 = 9,724.16/x
  3. Step 3: Cross multiply
    33,097.52x = 49,656.36 × 9,724.16
  4. Step 4: Simplify right side
    33,097.52x = 482,866,389.66
  5. Step 5: Solve for x
    x = 482,866,389.66/33,097.52
  6. Step 6: Final answer
    x = 14,589.20

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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.