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Finding the Fourth Proportional to 27,270.74, 40,893 and 16,178.86

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Solution

The fourth proportional to 27,270.74, 40,893 and 16,178.86 is: 24,260.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,270.74 : 40,893 = 16,178.86 : x
  2. Step 2: Convert to fraction form
    27,270.74/40,893 = 16,178.86/x
  3. Step 3: Cross multiply
    27,270.74x = 40,893 × 16,178.86
  4. Step 4: Simplify right side
    27,270.74x = 661,602,121.98
  5. Step 5: Solve for x
    x = 661,602,121.98/27,270.74
  6. Step 6: Final answer
    x = 24,260.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.