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Finding the Fourth Proportional to 32,823.56, 45,293.82 and 18,478.80

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Solution

The fourth proportional to 32,823.56, 45,293.82 and 18,478.80 is: 25,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,823.56 : 45,293.82 = 18,478.80 : x
  2. Step 2: Convert to fraction form
    32,823.56/45,293.82 = 18,478.80/x
  3. Step 3: Cross multiply
    32,823.56x = 45,293.82 × 18,478.80
  4. Step 4: Simplify right side
    32,823.56x = 836,975,371.72
  5. Step 5: Solve for x
    x = 836,975,371.72/32,823.56
  6. Step 6: Final answer
    x = 25,499.22

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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.