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Finding the Fourth Proportional to 77,705.28, 107,268 and 59,793.60

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Solution

The fourth proportional to 77,705.28, 107,268 and 59,793.60 is: 82,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,705.28 : 107,268 = 59,793.60 : x
  2. Step 2: Convert to fraction form
    77,705.28/107,268 = 59,793.60/x
  3. Step 3: Cross multiply
    77,705.28x = 107,268 × 59,793.60
  4. Step 4: Simplify right side
    77,705.28x = 6,413,939,884.80
  5. Step 5: Solve for x
    x = 6,413,939,884.80/77,705.28
  6. Step 6: Final answer
    x = 82,541.88

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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.