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Finding the Fourth Proportional to 47,908.53, 66,099.13 and 27,761.51

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Solution

The fourth proportional to 47,908.53, 66,099.13 and 27,761.51 is: 38,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,908.53 : 66,099.13 = 27,761.51 : x
  2. Step 2: Convert to fraction form
    47,908.53/66,099.13 = 27,761.51/x
  3. Step 3: Cross multiply
    47,908.53x = 66,099.13 × 27,761.51
  4. Step 4: Simplify right side
    47,908.53x = 1,835,011,754.33
  5. Step 5: Solve for x
    x = 1,835,011,754.33/47,908.53
  6. Step 6: Final answer
    x = 38,302.40

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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.