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Finding the Fourth Proportional to 82,478, 123,782.56 and 29,902.48

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Solution

The fourth proportional to 82,478, 123,782.56 and 29,902.48 is: 44,877.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,478 : 123,782.56 = 29,902.48 : x
  2. Step 2: Convert to fraction form
    82,478/123,782.56 = 29,902.48/x
  3. Step 3: Cross multiply
    82,478x = 123,782.56 × 29,902.48
  4. Step 4: Simplify right side
    82,478x = 3,701,405,524.75
  5. Step 5: Solve for x
    x = 3,701,405,524.75/82,478
  6. Step 6: Final answer
    x = 44,877.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.