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Finding the Fourth Proportional to 32,586, 48,903.56 and 23,843.44

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Solution

The fourth proportional to 32,586, 48,903.56 and 23,843.44 is: 35,783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,586 : 48,903.56 = 23,843.44 : x
  2. Step 2: Convert to fraction form
    32,586/48,903.56 = 23,843.44/x
  3. Step 3: Cross multiply
    32,586x = 48,903.56 × 23,843.44
  4. Step 4: Simplify right side
    32,586x = 1,166,029,098.65
  5. Step 5: Solve for x
    x = 1,166,029,098.65/32,586
  6. Step 6: Final answer
    x = 35,783.13

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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.