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Finding the Fourth Proportional to 68,782.59, 103,174.35 and 22,035.48

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Solution

The fourth proportional to 68,782.59, 103,174.35 and 22,035.48 is: 33,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,782.59 : 103,174.35 = 22,035.48 : x
  2. Step 2: Convert to fraction form
    68,782.59/103,174.35 = 22,035.48/x
  3. Step 3: Cross multiply
    68,782.59x = 103,174.35 × 22,035.48
  4. Step 4: Simplify right side
    68,782.59x = 2,273,496,325.94
  5. Step 5: Solve for x
    x = 2,273,496,325.94/68,782.59
  6. Step 6: Final answer
    x = 33,053.37

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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.