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Finding the Fourth Proportional to 38,350, 52,927.86 and 21,586.24

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Solution

The fourth proportional to 38,350, 52,927.86 and 21,586.24 is: 29,791.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,350 : 52,927.86 = 21,586.24 : x
  2. Step 2: Convert to fraction form
    38,350/52,927.86 = 21,586.24/x
  3. Step 3: Cross multiply
    38,350x = 52,927.86 × 21,586.24
  4. Step 4: Simplify right side
    38,350x = 1,142,513,488.65
  5. Step 5: Solve for x
    x = 1,142,513,488.65/38,350
  6. Step 6: Final answer
    x = 29,791.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.