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Finding the Fourth Proportional to 30,221.69, 45,332.94 and 8,034.95

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Solution

The fourth proportional to 30,221.69, 45,332.94 and 8,034.95 is: 12,052.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,221.69 : 45,332.94 = 8,034.95 : x
  2. Step 2: Convert to fraction form
    30,221.69/45,332.94 = 8,034.95/x
  3. Step 3: Cross multiply
    30,221.69x = 45,332.94 × 8,034.95
  4. Step 4: Simplify right side
    30,221.69x = 364,247,906.25
  5. Step 5: Solve for x
    x = 364,247,906.25/30,221.69
  6. Step 6: Final answer
    x = 12,052.53

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1.5x scale

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.