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Finding the Fourth Proportional to 65,864.92, 90,892.74 and 37,571.08

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Solution

The fourth proportional to 65,864.92, 90,892.74 and 37,571.08 is: 51,847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,864.92 : 90,892.74 = 37,571.08 : x
  2. Step 2: Convert to fraction form
    65,864.92/90,892.74 = 37,571.08/x
  3. Step 3: Cross multiply
    65,864.92x = 90,892.74 × 37,571.08
  4. Step 4: Simplify right side
    65,864.92x = 3,414,938,405.96
  5. Step 5: Solve for x
    x = 3,414,938,405.96/65,864.92
  6. Step 6: Final answer
    x = 51,847.61

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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.