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Finding the Fourth Proportional to 55,055.80, 75,989.10 and 36,194.68

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Solution

The fourth proportional to 55,055.80, 75,989.10 and 36,194.68 is: 49,956.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,055.80 : 75,989.10 = 36,194.68 : x
  2. Step 2: Convert to fraction form
    55,055.80/75,989.10 = 36,194.68/x
  3. Step 3: Cross multiply
    55,055.80x = 75,989.10 × 36,194.68
  4. Step 4: Simplify right side
    55,055.80x = 2,750,401,157.99
  5. Step 5: Solve for x
    x = 2,750,401,157.99/55,055.80
  6. Step 6: Final answer
    x = 49,956.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.