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Finding the Fourth Proportional to 55,549.50, 76,656.38 and 31,683.86

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Solution

The fourth proportional to 55,549.50, 76,656.38 and 31,683.86 is: 43,722.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,549.50 : 76,656.38 = 31,683.86 : x
  2. Step 2: Convert to fraction form
    55,549.50/76,656.38 = 31,683.86/x
  3. Step 3: Cross multiply
    55,549.50x = 76,656.38 × 31,683.86
  4. Step 4: Simplify right side
    55,549.50x = 2,428,770,012.03
  5. Step 5: Solve for x
    x = 2,428,770,012.03/55,549.50
  6. Step 6: Final answer
    x = 43,722.63

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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.