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Finding the Fourth Proportional to 33,085.70, 49,614.18 and 12,018.74

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Solution

The fourth proportional to 33,085.70, 49,614.18 and 12,018.74 is: 18,022.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,085.70 : 49,614.18 = 12,018.74 : x
  2. Step 2: Convert to fraction form
    33,085.70/49,614.18 = 12,018.74/x
  3. Step 3: Cross multiply
    33,085.70x = 49,614.18 × 12,018.74
  4. Step 4: Simplify right side
    33,085.70x = 596,299,929.73
  5. Step 5: Solve for x
    x = 596,299,929.73/33,085.70
  6. Step 6: Final answer
    x = 18,022.89

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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.