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Finding the Fourth Proportional to 56,446.44, 84,662.73 and 32,766.86

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Solution

The fourth proportional to 56,446.44, 84,662.73 and 32,766.86 is: 49,146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,446.44 : 84,662.73 = 32,766.86 : x
  2. Step 2: Convert to fraction form
    56,446.44/84,662.73 = 32,766.86/x
  3. Step 3: Cross multiply
    56,446.44x = 84,662.73 × 32,766.86
  4. Step 4: Simplify right side
    56,446.44x = 2,774,131,397.81
  5. Step 5: Solve for x
    x = 2,774,131,397.81/56,446.44
  6. Step 6: Final answer
    x = 49,146.26

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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.