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Finding the Fourth Proportional to 30,472.89, 45,616.38 and 27,311.46

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Solution

The fourth proportional to 30,472.89, 45,616.38 and 27,311.46 is: 40,883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,472.89 : 45,616.38 = 27,311.46 : x
  2. Step 2: Convert to fraction form
    30,472.89/45,616.38 = 27,311.46/x
  3. Step 3: Cross multiply
    30,472.89x = 45,616.38 × 27,311.46
  4. Step 4: Simplify right side
    30,472.89x = 1,245,849,937.71
  5. Step 5: Solve for x
    x = 1,245,849,937.71/30,472.89
  6. Step 6: Final answer
    x = 40,883.88

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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.