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Finding the Fourth Proportional to 98,384.91, 135,770.54 and 55,943.44

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Solution

The fourth proportional to 98,384.91, 135,770.54 and 55,943.44 is: 77,201.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,384.91 : 135,770.54 = 55,943.44 : x
  2. Step 2: Convert to fraction form
    98,384.91/135,770.54 = 55,943.44/x
  3. Step 3: Cross multiply
    98,384.91x = 135,770.54 × 55,943.44
  4. Step 4: Simplify right side
    98,384.91x = 7,595,471,058.26
  5. Step 5: Solve for x
    x = 7,595,471,058.26/98,384.91
  6. Step 6: Final answer
    x = 77,201.59

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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.