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Finding the Fourth Proportional to 29,305.26, 43,963.29 and 9,584.87

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Solution

The fourth proportional to 29,305.26, 43,963.29 and 9,584.87 is: 14,379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,305.26 : 43,963.29 = 9,584.87 : x
  2. Step 2: Convert to fraction form
    29,305.26/43,963.29 = 9,584.87/x
  3. Step 3: Cross multiply
    29,305.26x = 43,963.29 × 9,584.87
  4. Step 4: Simplify right side
    29,305.26x = 421,382,199.61
  5. Step 5: Solve for x
    x = 421,382,199.61/29,305.26
  6. Step 6: Final answer
    x = 14,379.06

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Why These Related Problems?

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