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Finding the Fourth Proportional to 47,896.65, 66,097.36 and 27,765.22

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Solution

The fourth proportional to 47,896.65, 66,097.36 and 27,765.22 is: 38,315.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,896.65 : 66,097.36 = 27,765.22 : x
  2. Step 2: Convert to fraction form
    47,896.65/66,097.36 = 27,765.22/x
  3. Step 3: Cross multiply
    47,896.65x = 66,097.36 × 27,765.22
  4. Step 4: Simplify right side
    47,896.65x = 1,835,207,741.82
  5. Step 5: Solve for x
    x = 1,835,207,741.82/47,896.65
  6. Step 6: Final answer
    x = 38,315.99

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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.