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Finding the Fourth Proportional to 98,081.23, 135,348 and 55,647.76

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Solution

The fourth proportional to 98,081.23, 135,348 and 55,647.76 is: 76,791.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,081.23 : 135,348 = 55,647.76 : x
  2. Step 2: Convert to fraction form
    98,081.23/135,348 = 55,647.76/x
  3. Step 3: Cross multiply
    98,081.23x = 135,348 × 55,647.76
  4. Step 4: Simplify right side
    98,081.23x = 7,531,813,020.48
  5. Step 5: Solve for x
    x = 7,531,813,020.48/98,081.23
  6. Step 6: Final answer
    x = 76,791.58

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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.