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Finding the Fourth Proportional to 30,208.50, 45,309.24 and 8,023.61

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Solution

The fourth proportional to 30,208.50, 45,309.24 and 8,023.61 is: 12,034.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,208.50 : 45,309.24 = 8,023.61 : x
  2. Step 2: Convert to fraction form
    30,208.50/45,309.24 = 8,023.61/x
  3. Step 3: Cross multiply
    30,208.50x = 45,309.24 × 8,023.61
  4. Step 4: Simplify right side
    30,208.50x = 363,543,784.43
  5. Step 5: Solve for x
    x = 363,543,784.43/30,208.50
  6. Step 6: Final answer
    x = 12,034.49

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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.