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Finding the Fourth Proportional to 29,225.70, 43,844.05 and 9,509.89

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Solution

The fourth proportional to 29,225.70, 43,844.05 and 9,509.89 is: 14,266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,225.70 : 43,844.05 = 9,509.89 : x
  2. Step 2: Convert to fraction form
    29,225.70/43,844.05 = 9,509.89/x
  3. Step 3: Cross multiply
    29,225.70x = 43,844.05 × 9,509.89
  4. Step 4: Simplify right side
    29,225.70x = 416,952,092.65
  5. Step 5: Solve for x
    x = 416,952,092.65/29,225.70
  6. Step 6: Final answer
    x = 14,266.62

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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.