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Finding the Fourth Proportional to 98,506.75, 135,939.32 and 53,794.75

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Solution

The fourth proportional to 98,506.75, 135,939.32 and 53,794.75 is: 74,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,506.75 : 135,939.32 = 53,794.75 : x
  2. Step 2: Convert to fraction form
    98,506.75/135,939.32 = 53,794.75/x
  3. Step 3: Cross multiply
    98,506.75x = 135,939.32 × 53,794.75
  4. Step 4: Simplify right side
    98,506.75x = 7,312,821,734.57
  5. Step 5: Solve for x
    x = 7,312,821,734.57/98,506.75
  6. Step 6: Final answer
    x = 74,236.76

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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.