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Finding the Fourth Proportional to 72,784.44, 109,001.70 and 41,524.92

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Solution

The fourth proportional to 72,784.44, 109,001.70 and 41,524.92 is: 62,187.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,784.44 : 109,001.70 = 41,524.92 : x
  2. Step 2: Convert to fraction form
    72,784.44/109,001.70 = 41,524.92/x
  3. Step 3: Cross multiply
    72,784.44x = 109,001.70 × 41,524.92
  4. Step 4: Simplify right side
    72,784.44x = 4,526,286,872.36
  5. Step 5: Solve for x
    x = 4,526,286,872.36/72,784.44
  6. Step 6: Final answer
    x = 62,187.56

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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.