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Finding the Fourth Proportional to 29,589.44, 40,831.83 and 17,328.57

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Solution

The fourth proportional to 29,589.44, 40,831.83 and 17,328.57 is: 23,912.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,589.44 : 40,831.83 = 17,328.57 : x
  2. Step 2: Convert to fraction form
    29,589.44/40,831.83 = 17,328.57/x
  3. Step 3: Cross multiply
    29,589.44x = 40,831.83 × 17,328.57
  4. Step 4: Simplify right side
    29,589.44x = 707,557,224.38
  5. Step 5: Solve for x
    x = 707,557,224.38/29,589.44
  6. Step 6: Final answer
    x = 23,912.50

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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.