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Finding the Fourth Proportional to 75,957.40, 113,843.76 and 53,777.17

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Solution

The fourth proportional to 75,957.40, 113,843.76 and 53,777.17 is: 80,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,957.40 : 113,843.76 = 53,777.17 : x
  2. Step 2: Convert to fraction form
    75,957.40/113,843.76 = 53,777.17/x
  3. Step 3: Cross multiply
    75,957.40x = 113,843.76 × 53,777.17
  4. Step 4: Simplify right side
    75,957.40x = 6,122,195,234.96
  5. Step 5: Solve for x
    x = 6,122,195,234.96/75,957.40
  6. Step 6: Final answer
    x = 80,600.38

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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.