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Finding the Fourth Proportional to 69,709.89, 96,199.46 and 37,878.79

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Solution

The fourth proportional to 69,709.89, 96,199.46 and 37,878.79 is: 52,272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,709.89 : 96,199.46 = 37,878.79 : x
  2. Step 2: Convert to fraction form
    69,709.89/96,199.46 = 37,878.79/x
  3. Step 3: Cross multiply
    69,709.89x = 96,199.46 × 37,878.79
  4. Step 4: Simplify right side
    69,709.89x = 3,643,918,902.95
  5. Step 5: Solve for x
    x = 3,643,918,902.95/69,709.89
  6. Step 6: Final answer
    x = 52,272.63

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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.