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Finding the Fourth Proportional to 47,717.47, 65,859.78 and 27,575.20

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Solution

The fourth proportional to 47,717.47, 65,859.78 and 27,575.20 is: 38,059.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,717.47 : 65,859.78 = 27,575.20 : x
  2. Step 2: Convert to fraction form
    47,717.47/65,859.78 = 27,575.20/x
  3. Step 3: Cross multiply
    47,717.47x = 65,859.78 × 27,575.20
  4. Step 4: Simplify right side
    47,717.47x = 1,816,096,605.46
  5. Step 5: Solve for x
    x = 1,816,096,605.46/47,717.47
  6. Step 6: Final answer
    x = 38,059.36

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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.