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Finding the Fourth Proportional to 65,498.53, 90,383.11 and 37,198.75

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Solution

The fourth proportional to 65,498.53, 90,383.11 and 37,198.75 is: 51,331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,498.53 : 90,383.11 = 37,198.75 : x
  2. Step 2: Convert to fraction form
    65,498.53/90,383.11 = 37,198.75/x
  3. Step 3: Cross multiply
    65,498.53x = 90,383.11 × 37,198.75
  4. Step 4: Simplify right side
    65,498.53x = 3,362,138,713.11
  5. Step 5: Solve for x
    x = 3,362,138,713.11/65,498.53
  6. Step 6: Final answer
    x = 51,331.51

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1.5x scale

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.