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Finding the Fourth Proportional to 39,680.52, 54,755.64 and 22,681.38

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Solution

The fourth proportional to 39,680.52, 54,755.64 and 22,681.38 is: 31,298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,680.52 : 54,755.64 = 22,681.38 : x
  2. Step 2: Convert to fraction form
    39,680.52/54,755.64 = 22,681.38/x
  3. Step 3: Cross multiply
    39,680.52x = 54,755.64 × 22,681.38
  4. Step 4: Simplify right side
    39,680.52x = 1,241,933,477.98
  5. Step 5: Solve for x
    x = 1,241,933,477.98/39,680.52
  6. Step 6: Final answer
    x = 31,298.32

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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.