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Finding the Fourth Proportional to 65,770.92, 98,466.30 and 40,735.17

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Solution

The fourth proportional to 65,770.92, 98,466.30 and 40,735.17 is: 60,985.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,770.92 : 98,466.30 = 40,735.17 : x
  2. Step 2: Convert to fraction form
    65,770.92/98,466.30 = 40,735.17/x
  3. Step 3: Cross multiply
    65,770.92x = 98,466.30 × 40,735.17
  4. Step 4: Simplify right side
    65,770.92x = 4,011,041,469.77
  5. Step 5: Solve for x
    x = 4,011,041,469.77/65,770.92
  6. Step 6: Final answer
    x = 60,985.03

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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.