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Finding the Fourth Proportional to 29,305.53, 43,963.74 and 9,585.14

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Solution

The fourth proportional to 29,305.53, 43,963.74 and 9,585.14 is: 14,379.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,305.53 : 43,963.74 = 9,585.14 : x
  2. Step 2: Convert to fraction form
    29,305.53/43,963.74 = 9,585.14/x
  3. Step 3: Cross multiply
    29,305.53x = 43,963.74 × 9,585.14
  4. Step 4: Simplify right side
    29,305.53x = 421,398,383.00
  5. Step 5: Solve for x
    x = 421,398,383.00/29,305.53
  6. Step 6: Final answer
    x = 14,379.48

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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.