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Finding the Fourth Proportional to 34,536, 47,659.68 and 19,634.88

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Solution

The fourth proportional to 34,536, 47,659.68 and 19,634.88 is: 27,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,536 : 47,659.68 = 19,634.88 : x
  2. Step 2: Convert to fraction form
    34,536/47,659.68 = 19,634.88/x
  3. Step 3: Cross multiply
    34,536x = 47,659.68 × 19,634.88
  4. Step 4: Simplify right side
    34,536x = 935,792,097.64
  5. Step 5: Solve for x
    x = 935,792,097.64/34,536
  6. Step 6: Final answer
    x = 27,096.13

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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.