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Finding the Fourth Proportional to 35,105.67, 52,629.35 and 24,545.50

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Solution

The fourth proportional to 35,105.67, 52,629.35 and 24,545.50 is: 36,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,105.67 : 52,629.35 = 24,545.50 : x
  2. Step 2: Convert to fraction form
    35,105.67/52,629.35 = 24,545.50/x
  3. Step 3: Cross multiply
    35,105.67x = 52,629.35 × 24,545.50
  4. Step 4: Simplify right side
    35,105.67x = 1,291,813,456.12
  5. Step 5: Solve for x
    x = 1,291,813,456.12/35,105.67
  6. Step 6: Final answer
    x = 36,797.86

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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.