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Finding the Fourth Proportional to 97,496.70, 146,201.85 and 44,922.30

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Solution

The fourth proportional to 97,496.70, 146,201.85 and 44,922.30 is: 67,363.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,496.70 : 146,201.85 = 44,922.30 : x
  2. Step 2: Convert to fraction form
    97,496.70/146,201.85 = 44,922.30/x
  3. Step 3: Cross multiply
    97,496.70x = 146,201.85 × 44,922.30
  4. Step 4: Simplify right side
    97,496.70x = 6,567,723,366.26
  5. Step 5: Solve for x
    x = 6,567,723,366.26/97,496.70
  6. Step 6: Final answer
    x = 67,363.55

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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.