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Finding the Fourth Proportional to 99,258.44, 136,976.82 and 53,936

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Solution

The fourth proportional to 99,258.44, 136,976.82 and 53,936 is: 74,431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,258.44 : 136,976.82 = 53,936 : x
  2. Step 2: Convert to fraction form
    99,258.44/136,976.82 = 53,936/x
  3. Step 3: Cross multiply
    99,258.44x = 136,976.82 × 53,936
  4. Step 4: Simplify right side
    99,258.44x = 7,387,981,763.52
  5. Step 5: Solve for x
    x = 7,387,981,763.52/99,258.44
  6. Step 6: Final answer
    x = 74,431.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.