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Finding the Fourth Proportional to 98,514.54, 135,940.25 and 55,492.83

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Solution

The fourth proportional to 98,514.54, 135,940.25 and 55,492.83 is: 76,574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,514.54 : 135,940.25 = 55,492.83 : x
  2. Step 2: Convert to fraction form
    98,514.54/135,940.25 = 55,492.83/x
  3. Step 3: Cross multiply
    98,514.54x = 135,940.25 × 55,492.83
  4. Step 4: Simplify right side
    98,514.54x = 7,543,708,905.94
  5. Step 5: Solve for x
    x = 7,543,708,905.94/98,514.54
  6. Step 6: Final answer
    x = 76,574.57

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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.