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Finding the Fourth Proportional to 47,902.16, 66,105 and 27,770.72

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Solution

The fourth proportional to 47,902.16, 66,105 and 27,770.72 is: 38,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,902.16 : 66,105 = 27,770.72 : x
  2. Step 2: Convert to fraction form
    47,902.16/66,105 = 27,770.72/x
  3. Step 3: Cross multiply
    47,902.16x = 66,105 × 27,770.72
  4. Step 4: Simplify right side
    47,902.16x = 1,835,783,115.08
  5. Step 5: Solve for x
    x = 1,835,783,115.08/47,902.16
  6. Step 6: Final answer
    x = 38,323.60

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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.