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Finding the Fourth Proportional to 37,149.08, 55,723.41 and 9,069.28

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Solution

The fourth proportional to 37,149.08, 55,723.41 and 9,069.28 is: 13,603.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,149.08 : 55,723.41 = 9,069.28 : x
  2. Step 2: Convert to fraction form
    37,149.08/55,723.41 = 9,069.28/x
  3. Step 3: Cross multiply
    37,149.08x = 55,723.41 × 9,069.28
  4. Step 4: Simplify right side
    37,149.08x = 505,370,929.23
  5. Step 5: Solve for x
    x = 505,370,929.23/37,149.08
  6. Step 6: Final answer
    x = 13,603.86

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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.