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Finding the Fourth Proportional to 33,119.70, 49,689.12 and 9,746.06

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Solution

The fourth proportional to 33,119.70, 49,689.12 and 9,746.06 is: 14,621.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,119.70 : 49,689.12 = 9,746.06 : x
  2. Step 2: Convert to fraction form
    33,119.70/49,689.12 = 9,746.06/x
  3. Step 3: Cross multiply
    33,119.70x = 49,689.12 × 9,746.06
  4. Step 4: Simplify right side
    33,119.70x = 484,273,144.87
  5. Step 5: Solve for x
    x = 484,273,144.87/33,119.70
  6. Step 6: Final answer
    x = 14,621.91

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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.