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Finding the Fourth Proportional to 82,064.88, 122,990.40 and 37,052.78

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Solution

The fourth proportional to 82,064.88, 122,990.40 and 37,052.78 is: 55,530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,064.88 : 122,990.40 = 37,052.78 : x
  2. Step 2: Convert to fraction form
    82,064.88/122,990.40 = 37,052.78/x
  3. Step 3: Cross multiply
    82,064.88x = 122,990.40 × 37,052.78
  4. Step 4: Simplify right side
    82,064.88x = 4,557,135,618.36
  5. Step 5: Solve for x
    x = 4,557,135,618.36/82,064.88
  6. Step 6: Final answer
    x = 55,530.89

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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.