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Finding the Fourth Proportional to 30,122.30, 45,194.22 and 18,300.20

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Solution

The fourth proportional to 30,122.30, 45,194.22 and 18,300.20 is: 27,456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,122.30 : 45,194.22 = 18,300.20 : x
  2. Step 2: Convert to fraction form
    30,122.30/45,194.22 = 18,300.20/x
  3. Step 3: Cross multiply
    30,122.30x = 45,194.22 × 18,300.20
  4. Step 4: Simplify right side
    30,122.30x = 827,063,038.87
  5. Step 5: Solve for x
    x = 827,063,038.87/30,122.30
  6. Step 6: Final answer
    x = 27,456.84

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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.