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Finding the Fourth Proportional to 32,180.65, 44,404.52 and 18,381.97

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Solution

The fourth proportional to 32,180.65, 44,404.52 and 18,381.97 is: 25,364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,180.65 : 44,404.52 = 18,381.97 : x
  2. Step 2: Convert to fraction form
    32,180.65/44,404.52 = 18,381.97/x
  3. Step 3: Cross multiply
    32,180.65x = 44,404.52 × 18,381.97
  4. Step 4: Simplify right side
    32,180.65x = 816,242,462.59
  5. Step 5: Solve for x
    x = 816,242,462.59/32,180.65
  6. Step 6: Final answer
    x = 25,364.39

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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.