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Finding the Fourth Proportional to 47,033.52, 64,896.12 and 27,150

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Solution

The fourth proportional to 47,033.52, 64,896.12 and 27,150 is: 37,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,033.52 : 64,896.12 = 27,150 : x
  2. Step 2: Convert to fraction form
    47,033.52/64,896.12 = 27,150/x
  3. Step 3: Cross multiply
    47,033.52x = 64,896.12 × 27,150
  4. Step 4: Simplify right side
    47,033.52x = 1,761,929,658
  5. Step 5: Solve for x
    x = 1,761,929,658/47,033.52
  6. Step 6: Final answer
    x = 37,461.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.