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Finding the Fourth Proportional to 32,760.33, 49,149 and 9,388.59

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Solution

The fourth proportional to 32,760.33, 49,149 and 9,388.59 is: 14,085.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,760.33 : 49,149 = 9,388.59 : x
  2. Step 2: Convert to fraction form
    32,760.33/49,149 = 9,388.59/x
  3. Step 3: Cross multiply
    32,760.33x = 49,149 × 9,388.59
  4. Step 4: Simplify right side
    32,760.33x = 461,439,809.91
  5. Step 5: Solve for x
    x = 461,439,809.91/32,760.33
  6. Step 6: Final answer
    x = 14,085.32

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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.