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Finding the Fourth Proportional to 37,194.80, 55,782.48 and 13,808.48

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Solution

The fourth proportional to 37,194.80, 55,782.48 and 13,808.48 is: 20,709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,194.80 : 55,782.48 = 13,808.48 : x
  2. Step 2: Convert to fraction form
    37,194.80/55,782.48 = 13,808.48/x
  3. Step 3: Cross multiply
    37,194.80x = 55,782.48 × 13,808.48
  4. Step 4: Simplify right side
    37,194.80x = 770,271,259.43
  5. Step 5: Solve for x
    x = 770,271,259.43/37,194.80
  6. Step 6: Final answer
    x = 20,709.11

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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.