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Finding the Fourth Proportional to 29,042, 43,563.54 and 8,266.04

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Solution

The fourth proportional to 29,042, 43,563.54 and 8,266.04 is: 12,399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,042 : 43,563.54 = 8,266.04 : x
  2. Step 2: Convert to fraction form
    29,042/43,563.54 = 8,266.04/x
  3. Step 3: Cross multiply
    29,042x = 43,563.54 × 8,266.04
  4. Step 4: Simplify right side
    29,042x = 360,097,964.18
  5. Step 5: Solve for x
    x = 360,097,964.18/29,042
  6. Step 6: Final answer
    x = 12,399.21

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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.