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Finding the Fourth Proportional to 85,608.11, 128,380.23 and 29,432.31

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Solution

The fourth proportional to 85,608.11, 128,380.23 and 29,432.31 is: 44,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,608.11 : 128,380.23 = 29,432.31 : x
  2. Step 2: Convert to fraction form
    85,608.11/128,380.23 = 29,432.31/x
  3. Step 3: Cross multiply
    85,608.11x = 128,380.23 × 29,432.31
  4. Step 4: Simplify right side
    85,608.11x = 3,778,526,727.23
  5. Step 5: Solve for x
    x = 3,778,526,727.23/85,608.11
  6. Step 6: Final answer
    x = 44,137.49

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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.