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Finding the Fourth Proportional to 65,299.70, 97,949.52 and 43,107.86

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Solution

The fourth proportional to 65,299.70, 97,949.52 and 43,107.86 is: 64,661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,299.70 : 97,949.52 = 43,107.86 : x
  2. Step 2: Convert to fraction form
    65,299.70/97,949.52 = 43,107.86/x
  3. Step 3: Cross multiply
    65,299.70x = 97,949.52 × 43,107.86
  4. Step 4: Simplify right side
    65,299.70x = 4,222,394,440.10
  5. Step 5: Solve for x
    x = 4,222,394,440.10/65,299.70
  6. Step 6: Final answer
    x = 64,661.77

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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.