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Finding the Fourth Proportional to 98,505.24, 135,936.54 and 53,793.24

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Solution

The fourth proportional to 98,505.24, 135,936.54 and 53,793.24 is: 74,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,505.24 : 135,936.54 = 53,793.24 : x
  2. Step 2: Convert to fraction form
    98,505.24/135,936.54 = 53,793.24/x
  3. Step 3: Cross multiply
    98,505.24x = 135,936.54 × 53,793.24
  4. Step 4: Simplify right side
    98,505.24x = 7,312,466,920.99
  5. Step 5: Solve for x
    x = 7,312,466,920.99/98,505.24
  6. Step 6: Final answer
    x = 74,234.29

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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.