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Finding the Fourth Proportional to 65,126.34, 89,874 and 36,446.04

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Solution

The fourth proportional to 65,126.34, 89,874 and 36,446.04 is: 50,295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,126.34 : 89,874 = 36,446.04 : x
  2. Step 2: Convert to fraction form
    65,126.34/89,874 = 36,446.04/x
  3. Step 3: Cross multiply
    65,126.34x = 89,874 × 36,446.04
  4. Step 4: Simplify right side
    65,126.34x = 3,275,551,398.96
  5. Step 5: Solve for x
    x = 3,275,551,398.96/65,126.34
  6. Step 6: Final answer
    x = 50,295.34

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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.