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Finding the Fourth Proportional to 72,844.86, 100,524.48 and 41,013.06

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Solution

The fourth proportional to 72,844.86, 100,524.48 and 41,013.06 is: 56,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,844.86 : 100,524.48 = 41,013.06 : x
  2. Step 2: Convert to fraction form
    72,844.86/100,524.48 = 41,013.06/x
  3. Step 3: Cross multiply
    72,844.86x = 100,524.48 × 41,013.06
  4. Step 4: Simplify right side
    72,844.86x = 4,122,816,529.71
  5. Step 5: Solve for x
    x = 4,122,816,529.71/72,844.86
  6. Step 6: Final answer
    x = 56,597.22

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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.