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Finding the Fourth Proportional to 33,097.64, 49,646.87 and 9,724.55

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Solution

The fourth proportional to 33,097.64, 49,646.87 and 9,724.55 is: 14,586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,097.64 : 49,646.87 = 9,724.55 : x
  2. Step 2: Convert to fraction form
    33,097.64/49,646.87 = 9,724.55/x
  3. Step 3: Cross multiply
    33,097.64x = 49,646.87 × 9,724.55
  4. Step 4: Simplify right side
    33,097.64x = 482,793,421.04
  5. Step 5: Solve for x
    x = 482,793,421.04/33,097.64
  6. Step 6: Final answer
    x = 14,586.94

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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.