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Finding the Fourth Proportional to 71,067.16, 106,578.06 and 28,947.16

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Solution

The fourth proportional to 71,067.16, 106,578.06 and 28,947.16 is: 43,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,067.16 : 106,578.06 = 28,947.16 : x
  2. Step 2: Convert to fraction form
    71,067.16/106,578.06 = 28,947.16/x
  3. Step 3: Cross multiply
    71,067.16x = 106,578.06 × 28,947.16
  4. Step 4: Simplify right side
    71,067.16x = 3,085,132,155.31
  5. Step 5: Solve for x
    x = 3,085,132,155.31/71,067.16
  6. Step 6: Final answer
    x = 43,411.50

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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.