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Finding the Fourth Proportional to 68,193.95, 102,337.65 and 23,820.66

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Solution

The fourth proportional to 68,193.95, 102,337.65 and 23,820.66 is: 35,747.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,193.95 : 102,337.65 = 23,820.66 : x
  2. Step 2: Convert to fraction form
    68,193.95/102,337.65 = 23,820.66/x
  3. Step 3: Cross multiply
    68,193.95x = 102,337.65 × 23,820.66
  4. Step 4: Simplify right side
    68,193.95x = 2,437,750,365.85
  5. Step 5: Solve for x
    x = 2,437,750,365.85/68,193.95
  6. Step 6: Final answer
    x = 35,747.31

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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.