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Finding the Fourth Proportional to 33,325.44, 49,983.04 and 11,139.20

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Solution

The fourth proportional to 33,325.44, 49,983.04 and 11,139.20 is: 16,707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,325.44 : 49,983.04 = 11,139.20 : x
  2. Step 2: Convert to fraction form
    33,325.44/49,983.04 = 11,139.20/x
  3. Step 3: Cross multiply
    33,325.44x = 49,983.04 × 11,139.20
  4. Step 4: Simplify right side
    33,325.44x = 556,771,079.17
  5. Step 5: Solve for x
    x = 556,771,079.17/33,325.44
  6. Step 6: Final answer
    x = 16,707.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.