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Finding the Fourth Proportional to 66,844.74, 100,118.63 and 47,833.94

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Solution

The fourth proportional to 66,844.74, 100,118.63 and 47,833.94 is: 71,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,844.74 : 100,118.63 = 47,833.94 : x
  2. Step 2: Convert to fraction form
    66,844.74/100,118.63 = 47,833.94/x
  3. Step 3: Cross multiply
    66,844.74x = 100,118.63 × 47,833.94
  4. Step 4: Simplify right side
    66,844.74x = 4,789,068,910.18
  5. Step 5: Solve for x
    x = 4,789,068,910.18/66,844.74
  6. Step 6: Final answer
    x = 71,644.66

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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.