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Finding the Fourth Proportional to 45,224.13, 67,785.17 and 21,823.23

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Solution

The fourth proportional to 45,224.13, 67,785.17 and 21,823.23 is: 32,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,224.13 : 67,785.17 = 21,823.23 : x
  2. Step 2: Convert to fraction form
    45,224.13/67,785.17 = 21,823.23/x
  3. Step 3: Cross multiply
    45,224.13x = 67,785.17 × 21,823.23
  4. Step 4: Simplify right side
    45,224.13x = 1,479,291,246.38
  5. Step 5: Solve for x
    x = 1,479,291,246.38/45,224.13
  6. Step 6: Final answer
    x = 32,710.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.