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Finding the Fourth Proportional to 40,539.78, 55,916.75 and 27,794.12

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Solution

The fourth proportional to 40,539.78, 55,916.75 and 27,794.12 is: 38,336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,539.78 : 55,916.75 = 27,794.12 : x
  2. Step 2: Convert to fraction form
    40,539.78/55,916.75 = 27,794.12/x
  3. Step 3: Cross multiply
    40,539.78x = 55,916.75 × 27,794.12
  4. Step 4: Simplify right side
    40,539.78x = 1,554,156,649.41
  5. Step 5: Solve for x
    x = 1,554,156,649.41/40,539.78
  6. Step 6: Final answer
    x = 38,336.58

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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.