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Finding the Fourth Proportional to 33,594.46, 50,394.48 and 10,221.10

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Solution

The fourth proportional to 33,594.46, 50,394.48 and 10,221.10 is: 15,332.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,594.46 : 50,394.48 = 10,221.10 : x
  2. Step 2: Convert to fraction form
    33,594.46/50,394.48 = 10,221.10/x
  3. Step 3: Cross multiply
    33,594.46x = 50,394.48 × 10,221.10
  4. Step 4: Simplify right side
    33,594.46x = 515,087,019.53
  5. Step 5: Solve for x
    x = 515,087,019.53/33,594.46
  6. Step 6: Final answer
    x = 15,332.50

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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.