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Finding the Fourth Proportional to 30,081.52, 45,054 and 24,137.68

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Solution

The fourth proportional to 30,081.52, 45,054 and 24,137.68 is: 36,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,081.52 : 45,054 = 24,137.68 : x
  2. Step 2: Convert to fraction form
    30,081.52/45,054 = 24,137.68/x
  3. Step 3: Cross multiply
    30,081.52x = 45,054 × 24,137.68
  4. Step 4: Simplify right side
    30,081.52x = 1,087,499,034.72
  5. Step 5: Solve for x
    x = 1,087,499,034.72/30,081.52
  6. Step 6: Final answer
    x = 36,151.73

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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.