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Finding the Fourth Proportional to 54,906.96, 75,746.46 and 32,245.56

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Solution

The fourth proportional to 54,906.96, 75,746.46 and 32,245.56 is: 44,484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,906.96 : 75,746.46 = 32,245.56 : x
  2. Step 2: Convert to fraction form
    54,906.96/75,746.46 = 32,245.56/x
  3. Step 3: Cross multiply
    54,906.96x = 75,746.46 × 32,245.56
  4. Step 4: Simplify right side
    54,906.96x = 2,442,487,020.72
  5. Step 5: Solve for x
    x = 2,442,487,020.72/54,906.96
  6. Step 6: Final answer
    x = 44,484.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.