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Finding the Fourth Proportional to 41,281.86, 56,978.02 and 27,136.02

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Solution

The fourth proportional to 41,281.86, 56,978.02 and 27,136.02 is: 37,453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,281.86 : 56,978.02 = 27,136.02 : x
  2. Step 2: Convert to fraction form
    41,281.86/56,978.02 = 27,136.02/x
  3. Step 3: Cross multiply
    41,281.86x = 56,978.02 × 27,136.02
  4. Step 4: Simplify right side
    41,281.86x = 1,546,156,690.28
  5. Step 5: Solve for x
    x = 1,546,156,690.28/41,281.86
  6. Step 6: Final answer
    x = 37,453.66

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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.