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Finding the Fourth Proportional to 76,076.88, 104,991.24 and 42,543.12

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Solution

The fourth proportional to 76,076.88, 104,991.24 and 42,543.12 is: 58,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,076.88 : 104,991.24 = 42,543.12 : x
  2. Step 2: Convert to fraction form
    76,076.88/104,991.24 = 42,543.12/x
  3. Step 3: Cross multiply
    76,076.88x = 104,991.24 × 42,543.12
  4. Step 4: Simplify right side
    76,076.88x = 4,466,654,922.27
  5. Step 5: Solve for x
    x = 4,466,654,922.27/76,076.88
  6. Step 6: Final answer
    x = 58,712.38

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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.