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Finding the Fourth Proportional to 98,093, 135,358.98 and 55,062.64

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Solution

The fourth proportional to 98,093, 135,358.98 and 55,062.64 is: 75,981.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,093 : 135,358.98 = 55,062.64 : x
  2. Step 2: Convert to fraction form
    98,093/135,358.98 = 55,062.64/x
  3. Step 3: Cross multiply
    98,093x = 135,358.98 × 55,062.64
  4. Step 4: Simplify right side
    98,093x = 7,453,222,786.51
  5. Step 5: Solve for x
    x = 7,453,222,786.51/98,093
  6. Step 6: Final answer
    x = 75,981.19

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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.