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Finding the Fourth Proportional to 65,177.25, 89,944.61 and 35,369.25

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Solution

The fourth proportional to 65,177.25, 89,944.61 and 35,369.25 is: 48,809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,177.25 : 89,944.61 = 35,369.25 : x
  2. Step 2: Convert to fraction form
    65,177.25/89,944.61 = 35,369.25/x
  3. Step 3: Cross multiply
    65,177.25x = 89,944.61 × 35,369.25
  4. Step 4: Simplify right side
    65,177.25x = 3,181,273,397.24
  5. Step 5: Solve for x
    x = 3,181,273,397.24/65,177.25
  6. Step 6: Final answer
    x = 48,809.57

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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.