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Finding the Fourth Proportional to 40,865.38, 56,425.71 and 32,942.97

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Solution

The fourth proportional to 40,865.38, 56,425.71 and 32,942.97 is: 45,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,865.38 : 56,425.71 = 32,942.97 : x
  2. Step 2: Convert to fraction form
    40,865.38/56,425.71 = 32,942.97/x
  3. Step 3: Cross multiply
    40,865.38x = 56,425.71 × 32,942.97
  4. Step 4: Simplify right side
    40,865.38x = 1,858,830,595.29
  5. Step 5: Solve for x
    x = 1,858,830,595.29/40,865.38
  6. Step 6: Final answer
    x = 45,486.69

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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.