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Finding the Fourth Proportional to 65,203.17, 89,982.59 and 36,524.06

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Solution

The fourth proportional to 65,203.17, 89,982.59 and 36,524.06 is: 50,404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,203.17 : 89,982.59 = 36,524.06 : x
  2. Step 2: Convert to fraction form
    65,203.17/89,982.59 = 36,524.06/x
  3. Step 3: Cross multiply
    65,203.17x = 89,982.59 × 36,524.06
  4. Step 4: Simplify right side
    65,203.17x = 3,286,529,516.12
  5. Step 5: Solve for x
    x = 3,286,529,516.12/65,203.17
  6. Step 6: Final answer
    x = 50,404.44

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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.