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Finding the Fourth Proportional to 35,578.50, 53,351.34 and 20,791.95

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Solution

The fourth proportional to 35,578.50, 53,351.34 and 20,791.95 is: 31,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,578.50 : 53,351.34 = 20,791.95 : x
  2. Step 2: Convert to fraction form
    35,578.50/53,351.34 = 20,791.95/x
  3. Step 3: Cross multiply
    35,578.50x = 53,351.34 × 20,791.95
  4. Step 4: Simplify right side
    35,578.50x = 1,109,278,393.71
  5. Step 5: Solve for x
    x = 1,109,278,393.71/35,578.50
  6. Step 6: Final answer
    x = 31,178.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.