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Finding the Fourth Proportional to 30,197.30, 45,274.06 and 15,213.64

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Solution

The fourth proportional to 30,197.30, 45,274.06 and 15,213.64 is: 22,809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,197.30 : 45,274.06 = 15,213.64 : x
  2. Step 2: Convert to fraction form
    30,197.30/45,274.06 = 15,213.64/x
  3. Step 3: Cross multiply
    30,197.30x = 45,274.06 × 15,213.64
  4. Step 4: Simplify right side
    30,197.30x = 688,783,250.18
  5. Step 5: Solve for x
    x = 688,783,250.18/30,197.30
  6. Step 6: Final answer
    x = 22,809.43

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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.