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Finding the Fourth Proportional to 72,518.37, 100,076.97 and 42,305.73

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Solution

The fourth proportional to 72,518.37, 100,076.97 and 42,305.73 is: 58,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,518.37 : 100,076.97 = 42,305.73 : x
  2. Step 2: Convert to fraction form
    72,518.37/100,076.97 = 42,305.73/x
  3. Step 3: Cross multiply
    72,518.37x = 100,076.97 × 42,305.73
  4. Step 4: Simplify right side
    72,518.37x = 4,233,829,272.04
  5. Step 5: Solve for x
    x = 4,233,829,272.04/72,518.37
  6. Step 6: Final answer
    x = 58,382.85

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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.