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Finding the Fourth Proportional to 19,378, 29,067.27 and 5,527

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Solution

The fourth proportional to 19,378, 29,067.27 and 5,527 is: 8,290.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,378 : 29,067.27 = 5,527 : x
  2. Step 2: Convert to fraction form
    19,378/29,067.27 = 5,527/x
  3. Step 3: Cross multiply
    19,378x = 29,067.27 × 5,527
  4. Step 4: Simplify right side
    19,378x = 160,654,801.29
  5. Step 5: Solve for x
    x = 160,654,801.29/19,378
  6. Step 6: Final answer
    x = 8,290.58

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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.