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Finding the Fourth Proportional to 34,559.13, 47,691.48 and 19,451.78

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Solution

The fourth proportional to 34,559.13, 47,691.48 and 19,451.78 is: 26,843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,559.13 : 47,691.48 = 19,451.78 : x
  2. Step 2: Convert to fraction form
    34,559.13/47,691.48 = 19,451.78/x
  3. Step 3: Cross multiply
    34,559.13x = 47,691.48 × 19,451.78
  4. Step 4: Simplify right side
    34,559.13x = 927,684,391.36
  5. Step 5: Solve for x
    x = 927,684,391.36/34,559.13
  6. Step 6: Final answer
    x = 26,843.39

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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.