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Finding the Fourth Proportional to 72,098.63, 107,997.13 and 57,982.22

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Solution

The fourth proportional to 72,098.63, 107,997.13 and 57,982.22 is: 86,852.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,098.63 : 107,997.13 = 57,982.22 : x
  2. Step 2: Convert to fraction form
    72,098.63/107,997.13 = 57,982.22/x
  3. Step 3: Cross multiply
    72,098.63x = 107,997.13 × 57,982.22
  4. Step 4: Simplify right side
    72,098.63x = 6,261,912,666.09
  5. Step 5: Solve for x
    x = 6,261,912,666.09/72,098.63
  6. Step 6: Final answer
    x = 86,852.04

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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.