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Finding the Fourth Proportional to 29,405.91, 40,583.12 and 17,471.91

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Solution

The fourth proportional to 29,405.91, 40,583.12 and 17,471.91 is: 24,112.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,405.91 : 40,583.12 = 17,471.91 : x
  2. Step 2: Convert to fraction form
    29,405.91/40,583.12 = 17,471.91/x
  3. Step 3: Cross multiply
    29,405.91x = 40,583.12 × 17,471.91
  4. Step 4: Simplify right side
    29,405.91x = 709,064,532.80
  5. Step 5: Solve for x
    x = 709,064,532.80/29,405.91
  6. Step 6: Final answer
    x = 24,112.99

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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.