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Finding the Fourth Proportional to 65,914.62, 98,906.80 and 35,950.50

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Solution

The fourth proportional to 65,914.62, 98,906.80 and 35,950.50 is: 53,944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,914.62 : 98,906.80 = 35,950.50 : x
  2. Step 2: Convert to fraction form
    65,914.62/98,906.80 = 35,950.50/x
  3. Step 3: Cross multiply
    65,914.62x = 98,906.80 × 35,950.50
  4. Step 4: Simplify right side
    65,914.62x = 3,555,748,913.40
  5. Step 5: Solve for x
    x = 3,555,748,913.40/65,914.62
  6. Step 6: Final answer
    x = 53,944.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.