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Finding the Fourth Proportional to 32,826, 45,299.88 and 17,922

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Solution

The fourth proportional to 32,826, 45,299.88 and 17,922 is: 24,732.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,826 : 45,299.88 = 17,922 : x
  2. Step 2: Convert to fraction form
    32,826/45,299.88 = 17,922/x
  3. Step 3: Cross multiply
    32,826x = 45,299.88 × 17,922
  4. Step 4: Simplify right side
    32,826x = 811,864,449.36
  5. Step 5: Solve for x
    x = 811,864,449.36/32,826
  6. Step 6: Final answer
    x = 24,732.36

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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.