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Finding the Fourth Proportional to 30,257.20, 45,296.20 and 22,500.40

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Solution

The fourth proportional to 30,257.20, 45,296.20 and 22,500.40 is: 33,683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,257.20 : 45,296.20 = 22,500.40 : x
  2. Step 2: Convert to fraction form
    30,257.20/45,296.20 = 22,500.40/x
  3. Step 3: Cross multiply
    30,257.20x = 45,296.20 × 22,500.40
  4. Step 4: Simplify right side
    30,257.20x = 1,019,182,618.48
  5. Step 5: Solve for x
    x = 1,019,182,618.48/30,257.20
  6. Step 6: Final answer
    x = 33,683.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.