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Finding the Fourth Proportional to 30,082.94, 45,134.13 and 12,557.78

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Solution

The fourth proportional to 30,082.94, 45,134.13 and 12,557.78 is: 18,840.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,082.94 : 45,134.13 = 12,557.78 : x
  2. Step 2: Convert to fraction form
    30,082.94/45,134.13 = 12,557.78/x
  3. Step 3: Cross multiply
    30,082.94x = 45,134.13 × 12,557.78
  4. Step 4: Simplify right side
    30,082.94x = 566,784,475.03
  5. Step 5: Solve for x
    x = 566,784,475.03/30,082.94
  6. Step 6: Final answer
    x = 18,840.73

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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.