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Finding the Fourth Proportional to 47,761.94, 71,544.44 and 27,980.52

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Solution

The fourth proportional to 47,761.94, 71,544.44 and 27,980.52 is: 41,913.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,761.94 : 71,544.44 = 27,980.52 : x
  2. Step 2: Convert to fraction form
    47,761.94/71,544.44 = 27,980.52/x
  3. Step 3: Cross multiply
    47,761.94x = 71,544.44 × 27,980.52
  4. Step 4: Simplify right side
    47,761.94x = 2,001,850,743.22
  5. Step 5: Solve for x
    x = 2,001,850,743.22/47,761.94
  6. Step 6: Final answer
    x = 41,913.10

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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.