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Finding the Fourth Proportional to 47,900.56, 66,098.54 and 27,751

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Solution

The fourth proportional to 47,900.56, 66,098.54 and 27,751 is: 38,293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,900.56 : 66,098.54 = 27,751 : x
  2. Step 2: Convert to fraction form
    47,900.56/66,098.54 = 27,751/x
  3. Step 3: Cross multiply
    47,900.56x = 66,098.54 × 27,751
  4. Step 4: Simplify right side
    47,900.56x = 1,834,300,583.54
  5. Step 5: Solve for x
    x = 1,834,300,583.54/47,900.56
  6. Step 6: Final answer
    x = 38,293.93

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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.