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Finding the Fourth Proportional to 47,967.86, 66,213.89 and 36,065.78

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Solution

The fourth proportional to 47,967.86, 66,213.89 and 36,065.78 is: 49,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,967.86 : 66,213.89 = 36,065.78 : x
  2. Step 2: Convert to fraction form
    47,967.86/66,213.89 = 36,065.78/x
  3. Step 3: Cross multiply
    47,967.86x = 66,213.89 × 36,065.78
  4. Step 4: Simplify right side
    47,967.86x = 2,388,055,258.61
  5. Step 5: Solve for x
    x = 2,388,055,258.61/47,967.86
  6. Step 6: Final answer
    x = 49,784.48

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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.