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Finding the Fourth Proportional to 32,849, 45,331.62 and 17,945

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Solution

The fourth proportional to 32,849, 45,331.62 and 17,945 is: 24,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,849 : 45,331.62 = 17,945 : x
  2. Step 2: Convert to fraction form
    32,849/45,331.62 = 17,945/x
  3. Step 3: Cross multiply
    32,849x = 45,331.62 × 17,945
  4. Step 4: Simplify right side
    32,849x = 813,475,920.90
  5. Step 5: Solve for x
    x = 813,475,920.90/32,849
  6. Step 6: Final answer
    x = 24,764.10

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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.