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Finding the Fourth Proportional to 32,109.88, 44,316.10 and 17,963.68

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Solution

The fourth proportional to 32,109.88, 44,316.10 and 17,963.68 is: 24,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,109.88 : 44,316.10 = 17,963.68 : x
  2. Step 2: Convert to fraction form
    32,109.88/44,316.10 = 17,963.68/x
  3. Step 3: Cross multiply
    32,109.88x = 44,316.10 × 17,963.68
  4. Step 4: Simplify right side
    32,109.88x = 796,080,239.25
  5. Step 5: Solve for x
    x = 796,080,239.25/32,109.88
  6. Step 6: Final answer
    x = 24,792.38

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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.