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Finding the Fourth Proportional to 30,102.54, 45,197.64 and 22,229.34

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Solution

The fourth proportional to 30,102.54, 45,197.64 and 22,229.34 is: 33,376.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102.54 : 45,197.64 = 22,229.34 : x
  2. Step 2: Convert to fraction form
    30,102.54/45,197.64 = 22,229.34/x
  3. Step 3: Cross multiply
    30,102.54x = 45,197.64 × 22,229.34
  4. Step 4: Simplify right side
    30,102.54x = 1,004,713,706.76
  5. Step 5: Solve for x
    x = 1,004,713,706.76/30,102.54
  6. Step 6: Final answer
    x = 33,376.38

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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.