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Finding the Fourth Proportional to 34,107.69, 47,066.78 and 18,793.76

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Solution

The fourth proportional to 34,107.69, 47,066.78 and 18,793.76 is: 25,934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,107.69 : 47,066.78 = 18,793.76 : x
  2. Step 2: Convert to fraction form
    34,107.69/47,066.78 = 18,793.76/x
  3. Step 3: Cross multiply
    34,107.69x = 47,066.78 × 18,793.76
  4. Step 4: Simplify right side
    34,107.69x = 884,561,767.29
  5. Step 5: Solve for x
    x = 884,561,767.29/34,107.69
  6. Step 6: Final answer
    x = 25,934.38

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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.