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Finding the Fourth Proportional to 45,965.21, 68,884.02 and 20,944.11

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Solution

The fourth proportional to 45,965.21, 68,884.02 and 20,944.11 is: 31,387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,965.21 : 68,884.02 = 20,944.11 : x
  2. Step 2: Convert to fraction form
    45,965.21/68,884.02 = 20,944.11/x
  3. Step 3: Cross multiply
    45,965.21x = 68,884.02 × 20,944.11
  4. Step 4: Simplify right side
    45,965.21x = 1,442,714,492.12
  5. Step 5: Solve for x
    x = 1,442,714,492.12/45,965.21
  6. Step 6: Final answer
    x = 31,387.10

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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.