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Finding the Fourth Proportional to 65,433.67, 98,146.62 and 23,311.52

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Solution

The fourth proportional to 65,433.67, 98,146.62 and 23,311.52 is: 34,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,433.67 : 98,146.62 = 23,311.52 : x
  2. Step 2: Convert to fraction form
    65,433.67/98,146.62 = 23,311.52/x
  3. Step 3: Cross multiply
    65,433.67x = 98,146.62 × 23,311.52
  4. Step 4: Simplify right side
    65,433.67x = 2,287,947,276.55
  5. Step 5: Solve for x
    x = 2,287,947,276.55/65,433.67
  6. Step 6: Final answer
    x = 34,965.90

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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.