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Finding the Fourth Proportional to 29,044.64, 43,571 and 9,329.24

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Solution

The fourth proportional to 29,044.64, 43,571 and 9,329.24 is: 13,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,044.64 : 43,571 = 9,329.24 : x
  2. Step 2: Convert to fraction form
    29,044.64/43,571 = 9,329.24/x
  3. Step 3: Cross multiply
    29,044.64x = 43,571 × 9,329.24
  4. Step 4: Simplify right side
    29,044.64x = 406,484,316.04
  5. Step 5: Solve for x
    x = 406,484,316.04/29,044.64
  6. Step 6: Final answer
    x = 13,995.16

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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.