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Finding the Fourth Proportional to 33,305.82, 49,715.76 and 29,102

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Solution

The fourth proportional to 33,305.82, 49,715.76 and 29,102 is: 43,440.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,305.82 : 49,715.76 = 29,102 : x
  2. Step 2: Convert to fraction form
    33,305.82/49,715.76 = 29,102/x
  3. Step 3: Cross multiply
    33,305.82x = 49,715.76 × 29,102
  4. Step 4: Simplify right side
    33,305.82x = 1,446,827,902.01
  5. Step 5: Solve for x
    x = 1,446,827,902.01/33,305.82
  6. Step 6: Final answer
    x = 43,440.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.