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Finding the Fourth Proportional to 30,494.52, 45,741.24 and 12,026.52

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Solution

The fourth proportional to 30,494.52, 45,741.24 and 12,026.52 is: 18,039.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,494.52 : 45,741.24 = 12,026.52 : x
  2. Step 2: Convert to fraction form
    30,494.52/45,741.24 = 12,026.52/x
  3. Step 3: Cross multiply
    30,494.52x = 45,741.24 × 12,026.52
  4. Step 4: Simplify right side
    30,494.52x = 550,107,937.68
  5. Step 5: Solve for x
    x = 550,107,937.68/30,494.52
  6. Step 6: Final answer
    x = 18,039.57

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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.