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Finding the Fourth Proportional to 51,698.27, 71,370.71 and 34,791.41

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Solution

The fourth proportional to 51,698.27, 71,370.71 and 34,791.41 is: 48,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,698.27 : 71,370.71 = 34,791.41 : x
  2. Step 2: Convert to fraction form
    51,698.27/71,370.71 = 34,791.41/x
  3. Step 3: Cross multiply
    51,698.27x = 71,370.71 × 34,791.41
  4. Step 4: Simplify right side
    51,698.27x = 2,483,087,102.79
  5. Step 5: Solve for x
    x = 2,483,087,102.79/51,698.27
  6. Step 6: Final answer
    x = 48,030.38

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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.