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Finding the Fourth Proportional to 40,667.82, 56,121.04 and 22,762.82

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Solution

The fourth proportional to 40,667.82, 56,121.04 and 22,762.82 is: 31,412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,667.82 : 56,121.04 = 22,762.82 : x
  2. Step 2: Convert to fraction form
    40,667.82/56,121.04 = 22,762.82/x
  3. Step 3: Cross multiply
    40,667.82x = 56,121.04 × 22,762.82
  4. Step 4: Simplify right side
    40,667.82x = 1,277,473,131.73
  5. Step 5: Solve for x
    x = 1,277,473,131.73/40,667.82
  6. Step 6: Final answer
    x = 31,412.38

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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.