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Finding the Fourth Proportional to 47,850.96, 66,032.22 and 27,706.80

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Solution

The fourth proportional to 47,850.96, 66,032.22 and 27,706.80 is: 38,234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,850.96 : 66,032.22 = 27,706.80 : x
  2. Step 2: Convert to fraction form
    47,850.96/66,032.22 = 27,706.80/x
  3. Step 3: Cross multiply
    47,850.96x = 66,032.22 × 27,706.80
  4. Step 4: Simplify right side
    47,850.96x = 1,829,541,513.10
  5. Step 5: Solve for x
    x = 1,829,541,513.10/47,850.96
  6. Step 6: Final answer
    x = 38,234.17

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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.