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Finding the Fourth Proportional to 33,584.64, 50,384.64 and 10,214.40

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Solution

The fourth proportional to 33,584.64, 50,384.64 and 10,214.40 is: 15,323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,584.64 : 50,384.64 = 10,214.40 : x
  2. Step 2: Convert to fraction form
    33,584.64/50,384.64 = 10,214.40/x
  3. Step 3: Cross multiply
    33,584.64x = 50,384.64 × 10,214.40
  4. Step 4: Simplify right side
    33,584.64x = 514,648,866.82
  5. Step 5: Solve for x
    x = 514,648,866.82/33,584.64
  6. Step 6: Final answer
    x = 15,323.94

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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.