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Finding the Fourth Proportional to 37,168, 55,722.52 and 13,471.84

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Solution

The fourth proportional to 37,168, 55,722.52 and 13,471.84 is: 20,197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,168 : 55,722.52 = 13,471.84 : x
  2. Step 2: Convert to fraction form
    37,168/55,722.52 = 13,471.84/x
  3. Step 3: Cross multiply
    37,168x = 55,722.52 × 13,471.84
  4. Step 4: Simplify right side
    37,168x = 750,684,873.84
  5. Step 5: Solve for x
    x = 750,684,873.84/37,168
  6. Step 6: Final answer
    x = 20,197.07

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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.