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Finding the Fourth Proportional to 10,067.80, 15,103.80 and 3,048.32

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Solution

The fourth proportional to 10,067.80, 15,103.80 and 3,048.32 is: 4,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.80 : 15,103.80 = 3,048.32 : x
  2. Step 2: Convert to fraction form
    10,067.80/15,103.80 = 3,048.32/x
  3. Step 3: Cross multiply
    10,067.80x = 15,103.80 × 3,048.32
  4. Step 4: Simplify right side
    10,067.80x = 46,041,215.62
  5. Step 5: Solve for x
    x = 46,041,215.62/10,067.80
  6. Step 6: Final answer
    x = 4,573.12

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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.