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Finding the Fourth Proportional to 65,874.96, 90,906.91 and 35,659.67

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Solution

The fourth proportional to 65,874.96, 90,906.91 and 35,659.67 is: 49,210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,874.96 : 90,906.91 = 35,659.67 : x
  2. Step 2: Convert to fraction form
    65,874.96/90,906.91 = 35,659.67/x
  3. Step 3: Cross multiply
    65,874.96x = 90,906.91 × 35,659.67
  4. Step 4: Simplify right side
    65,874.96x = 3,241,709,867.64
  5. Step 5: Solve for x
    x = 3,241,709,867.64/65,874.96
  6. Step 6: Final answer
    x = 49,210.05

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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.