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Finding the Fourth Proportional to 66,946.66, 100,415.86 and 27,502.75

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Solution

The fourth proportional to 66,946.66, 100,415.86 and 27,502.75 is: 41,252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,946.66 : 100,415.86 = 27,502.75 : x
  2. Step 2: Convert to fraction form
    66,946.66/100,415.86 = 27,502.75/x
  3. Step 3: Cross multiply
    66,946.66x = 100,415.86 × 27,502.75
  4. Step 4: Simplify right side
    66,946.66x = 2,761,712,293.62
  5. Step 5: Solve for x
    x = 2,761,712,293.62/66,946.66
  6. Step 6: Final answer
    x = 41,252.43

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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.