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Finding the Fourth Proportional to 65,008, 89,708.88 and 36,329.44

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Solution

The fourth proportional to 65,008, 89,708.88 and 36,329.44 is: 50,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,008 : 89,708.88 = 36,329.44 : x
  2. Step 2: Convert to fraction form
    65,008/89,708.88 = 36,329.44/x
  3. Step 3: Cross multiply
    65,008x = 89,708.88 × 36,329.44
  4. Step 4: Simplify right side
    65,008x = 3,259,073,373.43
  5. Step 5: Solve for x
    x = 3,259,073,373.43/65,008
  6. Step 6: Final answer
    x = 50,133.42

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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.