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Finding the Fourth Proportional to 65,954, 91,022.28 and 36,151.76

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Solution

The fourth proportional to 65,954, 91,022.28 and 36,151.76 is: 49,892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,954 : 91,022.28 = 36,151.76 : x
  2. Step 2: Convert to fraction form
    65,954/91,022.28 = 36,151.76/x
  3. Step 3: Cross multiply
    65,954x = 91,022.28 × 36,151.76
  4. Step 4: Simplify right side
    65,954x = 3,290,615,621.21
  5. Step 5: Solve for x
    x = 3,290,615,621.21/65,954
  6. Step 6: Final answer
    x = 49,892.59

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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.