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Finding the Fourth Proportional to 29,614.38, 40,853.88 and 17,506.70

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Solution

The fourth proportional to 29,614.38, 40,853.88 and 17,506.70 is: 24,150.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,614.38 : 40,853.88 = 17,506.70 : x
  2. Step 2: Convert to fraction form
    29,614.38/40,853.88 = 17,506.70/x
  3. Step 3: Cross multiply
    29,614.38x = 40,853.88 × 17,506.70
  4. Step 4: Simplify right side
    29,614.38x = 715,216,723.13
  5. Step 5: Solve for x
    x = 715,216,723.13/29,614.38
  6. Step 6: Final answer
    x = 24,150.99

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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.