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Finding the Fourth Proportional to 98,344, 135,715.44 and 53,632

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Solution

The fourth proportional to 98,344, 135,715.44 and 53,632 is: 74,012.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,344 : 135,715.44 = 53,632 : x
  2. Step 2: Convert to fraction form
    98,344/135,715.44 = 53,632/x
  3. Step 3: Cross multiply
    98,344x = 135,715.44 × 53,632
  4. Step 4: Simplify right side
    98,344x = 7,278,690,478.08
  5. Step 5: Solve for x
    x = 7,278,690,478.08/98,344
  6. Step 6: Final answer
    x = 74,012.55

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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.