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Finding the Fourth Proportional to 98,275, 135,619.38 and 53,563

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Solution

The fourth proportional to 98,275, 135,619.38 and 53,563 is: 73,916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,275 : 135,619.38 = 53,563 : x
  2. Step 2: Convert to fraction form
    98,275/135,619.38 = 53,563/x
  3. Step 3: Cross multiply
    98,275x = 135,619.38 × 53,563
  4. Step 4: Simplify right side
    98,275x = 7,264,180,850.94
  5. Step 5: Solve for x
    x = 7,264,180,850.94/98,275
  6. Step 6: Final answer
    x = 73,916.87

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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.