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Finding the Fourth Proportional to 34,470.39, 47,574.27 and 21,049.42

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Solution

The fourth proportional to 34,470.39, 47,574.27 and 21,049.42 is: 29,051.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,470.39 : 47,574.27 = 21,049.42 : x
  2. Step 2: Convert to fraction form
    34,470.39/47,574.27 = 21,049.42/x
  3. Step 3: Cross multiply
    34,470.39x = 47,574.27 × 21,049.42
  4. Step 4: Simplify right side
    34,470.39x = 1,001,410,849.49
  5. Step 5: Solve for x
    x = 1,001,410,849.49/34,470.39
  6. Step 6: Final answer
    x = 29,051.34

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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.