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Finding the Fourth Proportional to 32,964.54, 45,491.23 and 17,857.23

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Solution

The fourth proportional to 32,964.54, 45,491.23 and 17,857.23 is: 24,643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,964.54 : 45,491.23 = 17,857.23 : x
  2. Step 2: Convert to fraction form
    32,964.54/45,491.23 = 17,857.23/x
  3. Step 3: Cross multiply
    32,964.54x = 45,491.23 × 17,857.23
  4. Step 4: Simplify right side
    32,964.54x = 812,347,357.09
  5. Step 5: Solve for x
    x = 812,347,357.09/32,964.54
  6. Step 6: Final answer
    x = 24,643.07

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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.