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Finding the Fourth Proportional to 92,193.93, 138,208.41 and 36,020.97

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Solution

The fourth proportional to 92,193.93, 138,208.41 and 36,020.97 is: 53,999.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,193.93 : 138,208.41 = 36,020.97 : x
  2. Step 2: Convert to fraction form
    92,193.93/138,208.41 = 36,020.97/x
  3. Step 3: Cross multiply
    92,193.93x = 138,208.41 × 36,020.97
  4. Step 4: Simplify right side
    92,193.93x = 4,978,400,990.36
  5. Step 5: Solve for x
    x = 4,978,400,990.36/92,193.93
  6. Step 6: Final answer
    x = 53,999.23

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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.