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Finding the Fourth Proportional to 32,866.30, 45,355.54 and 17,759

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Solution

The fourth proportional to 32,866.30, 45,355.54 and 17,759 is: 24,507.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,866.30 : 45,355.54 = 17,759 : x
  2. Step 2: Convert to fraction form
    32,866.30/45,355.54 = 17,759/x
  3. Step 3: Cross multiply
    32,866.30x = 45,355.54 × 17,759
  4. Step 4: Simplify right side
    32,866.30x = 805,469,034.86
  5. Step 5: Solve for x
    x = 805,469,034.86/32,866.30
  6. Step 6: Final answer
    x = 24,507.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.