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Finding the Fourth Proportional to 32,844, 45,325.84 and 17,940.96

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Solution

The fourth proportional to 32,844, 45,325.84 and 17,940.96 is: 24,759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,844 : 45,325.84 = 17,940.96 : x
  2. Step 2: Convert to fraction form
    32,844/45,325.84 = 17,940.96/x
  3. Step 3: Cross multiply
    32,844x = 45,325.84 × 17,940.96
  4. Step 4: Simplify right side
    32,844x = 813,189,082.41
  5. Step 5: Solve for x
    x = 813,189,082.41/32,844
  6. Step 6: Final answer
    x = 24,759.14

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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.