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Finding the Fourth Proportional to 47,897.89, 66,099.04 and 27,766.43

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Solution

The fourth proportional to 47,897.89, 66,099.04 and 27,766.43 is: 38,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,897.89 : 66,099.04 = 27,766.43 : x
  2. Step 2: Convert to fraction form
    47,897.89/66,099.04 = 27,766.43/x
  3. Step 3: Cross multiply
    47,897.89x = 66,099.04 × 27,766.43
  4. Step 4: Simplify right side
    47,897.89x = 1,835,334,367.23
  5. Step 5: Solve for x
    x = 1,835,334,367.23/47,897.89
  6. Step 6: Final answer
    x = 38,317.65

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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.