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Finding the Fourth Proportional to 72,843.80, 100,526.31 and 41,013.83

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Solution

The fourth proportional to 72,843.80, 100,526.31 and 41,013.83 is: 56,600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,843.80 : 100,526.31 = 41,013.83 : x
  2. Step 2: Convert to fraction form
    72,843.80/100,526.31 = 41,013.83/x
  3. Step 3: Cross multiply
    72,843.80x = 100,526.31 × 41,013.83
  4. Step 4: Simplify right side
    72,843.80x = 4,122,968,988.87
  5. Step 5: Solve for x
    x = 4,122,968,988.87/72,843.80
  6. Step 6: Final answer
    x = 56,600.14

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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.