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Finding the Fourth Proportional to 65,738.82, 90,697.41 and 37,424.46

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Solution

The fourth proportional to 65,738.82, 90,697.41 and 37,424.46 is: 51,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,738.82 : 90,697.41 = 37,424.46 : x
  2. Step 2: Convert to fraction form
    65,738.82/90,697.41 = 37,424.46/x
  3. Step 3: Cross multiply
    65,738.82x = 90,697.41 × 37,424.46
  4. Step 4: Simplify right side
    65,738.82x = 3,394,301,592.65
  5. Step 5: Solve for x
    x = 3,394,301,592.65/65,738.82
  6. Step 6: Final answer
    x = 51,633.14

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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.