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Finding the Fourth Proportional to 36,994.83, 55,492.75 and 12,035

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Solution

The fourth proportional to 36,994.83, 55,492.75 and 12,035 is: 18,052.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,994.83 : 55,492.75 = 12,035 : x
  2. Step 2: Convert to fraction form
    36,994.83/55,492.75 = 12,035/x
  3. Step 3: Cross multiply
    36,994.83x = 55,492.75 × 12,035
  4. Step 4: Simplify right side
    36,994.83x = 667,855,186.08
  5. Step 5: Solve for x
    x = 667,855,186.08/36,994.83
  6. Step 6: Final answer
    x = 18,052.67

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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.