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Finding the Fourth Proportional to 52,610.12, 72,611.38 and 31,099

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Solution

The fourth proportional to 52,610.12, 72,611.38 and 31,099 is: 42,922.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,610.12 : 72,611.38 = 31,099 : x
  2. Step 2: Convert to fraction form
    52,610.12/72,611.38 = 31,099/x
  3. Step 3: Cross multiply
    52,610.12x = 72,611.38 × 31,099
  4. Step 4: Simplify right side
    52,610.12x = 2,258,141,306.62
  5. Step 5: Solve for x
    x = 2,258,141,306.62/52,610.12
  6. Step 6: Final answer
    x = 42,922.19

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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.