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Finding the Fourth Proportional to 65,959.28, 91,022.68 and 36,150.64

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Solution

The fourth proportional to 65,959.28, 91,022.68 and 36,150.64 is: 49,887.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,959.28 : 91,022.68 = 36,150.64 : x
  2. Step 2: Convert to fraction form
    65,959.28/91,022.68 = 36,150.64/x
  3. Step 3: Cross multiply
    65,959.28x = 91,022.68 × 36,150.64
  4. Step 4: Simplify right side
    65,959.28x = 3,290,528,136.52
  5. Step 5: Solve for x
    x = 3,290,528,136.52/65,959.28
  6. Step 6: Final answer
    x = 49,887.27

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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.