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Finding the Fourth Proportional to 40,771.31, 56,264.97 and 24,636.38

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Solution

The fourth proportional to 40,771.31, 56,264.97 and 24,636.38 is: 33,998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,771.31 : 56,264.97 = 24,636.38 : x
  2. Step 2: Convert to fraction form
    40,771.31/56,264.97 = 24,636.38/x
  3. Step 3: Cross multiply
    40,771.31x = 56,264.97 × 24,636.38
  4. Step 4: Simplify right side
    40,771.31x = 1,386,164,900.28
  5. Step 5: Solve for x
    x = 1,386,164,900.28/40,771.31
  6. Step 6: Final answer
    x = 33,998.54

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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.