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Finding the Fourth Proportional to 30,323.20, 45,494.22 and 15,542.44

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Solution

The fourth proportional to 30,323.20, 45,494.22 and 15,542.44 is: 23,318.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,323.20 : 45,494.22 = 15,542.44 : x
  2. Step 2: Convert to fraction form
    30,323.20/45,494.22 = 15,542.44/x
  3. Step 3: Cross multiply
    30,323.20x = 45,494.22 × 15,542.44
  4. Step 4: Simplify right side
    30,323.20x = 707,091,184.70
  5. Step 5: Solve for x
    x = 707,091,184.70/30,323.20
  6. Step 6: Final answer
    x = 23,318.49

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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.