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Finding the Fourth Proportional to 47,856, 66,041.28 and 27,984

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Solution

The fourth proportional to 47,856, 66,041.28 and 27,984 is: 38,617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,856 : 66,041.28 = 27,984 : x
  2. Step 2: Convert to fraction form
    47,856/66,041.28 = 27,984/x
  3. Step 3: Cross multiply
    47,856x = 66,041.28 × 27,984
  4. Step 4: Simplify right side
    47,856x = 1,848,099,179.52
  5. Step 5: Solve for x
    x = 1,848,099,179.52/47,856
  6. Step 6: Final answer
    x = 38,617.92

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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.