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Finding the Fourth Proportional to 47,896.92, 66,097.72 and 27,765.48

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Solution

The fourth proportional to 47,896.92, 66,097.72 and 27,765.48 is: 38,316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,896.92 : 66,097.72 = 27,765.48 : x
  2. Step 2: Convert to fraction form
    47,896.92/66,097.72 = 27,765.48/x
  3. Step 3: Cross multiply
    47,896.92x = 66,097.72 × 27,765.48
  4. Step 4: Simplify right side
    47,896.92x = 1,835,234,922.71
  5. Step 5: Solve for x
    x = 1,835,234,922.71/47,896.92
  6. Step 6: Final answer
    x = 38,316.35

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1.5x scale

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.