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Finding the Fourth Proportional to 33,147.12, 49,719.03 and 12,369

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Solution

The fourth proportional to 33,147.12, 49,719.03 and 12,369 is: 18,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,147.12 : 49,719.03 = 12,369 : x
  2. Step 2: Convert to fraction form
    33,147.12/49,719.03 = 12,369/x
  3. Step 3: Cross multiply
    33,147.12x = 49,719.03 × 12,369
  4. Step 4: Simplify right side
    33,147.12x = 614,974,682.07
  5. Step 5: Solve for x
    x = 614,974,682.07/33,147.12
  6. Step 6: Final answer
    x = 18,552.88

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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.