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Finding the Fourth Proportional to 47,531.82, 65,600.82 and 27,384.78

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Solution

The fourth proportional to 47,531.82, 65,600.82 and 27,384.78 is: 37,794.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,531.82 : 65,600.82 = 27,384.78 : x
  2. Step 2: Convert to fraction form
    47,531.82/65,600.82 = 27,384.78/x
  3. Step 3: Cross multiply
    47,531.82x = 65,600.82 × 27,384.78
  4. Step 4: Simplify right side
    47,531.82x = 1,796,464,023.52
  5. Step 5: Solve for x
    x = 1,796,464,023.52/47,531.82
  6. Step 6: Final answer
    x = 37,794.98

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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.