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Finding the Fourth Proportional to 39,086.46, 53,936.12 and 22,092.16

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Solution

The fourth proportional to 39,086.46, 53,936.12 and 22,092.16 is: 30,485.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,086.46 : 53,936.12 = 22,092.16 : x
  2. Step 2: Convert to fraction form
    39,086.46/53,936.12 = 22,092.16/x
  3. Step 3: Cross multiply
    39,086.46x = 53,936.12 × 22,092.16
  4. Step 4: Simplify right side
    39,086.46x = 1,191,565,392.82
  5. Step 5: Solve for x
    x = 1,191,565,392.82/39,086.46
  6. Step 6: Final answer
    x = 30,485.38

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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.