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Finding the Fourth Proportional to 32,600, 44,988.96 and 17,696.96

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Solution

The fourth proportional to 32,600, 44,988.96 and 17,696.96 is: 24,422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,600 : 44,988.96 = 17,696.96 : x
  2. Step 2: Convert to fraction form
    32,600/44,988.96 = 17,696.96/x
  3. Step 3: Cross multiply
    32,600x = 44,988.96 × 17,696.96
  4. Step 4: Simplify right side
    32,600x = 796,167,825.56
  5. Step 5: Solve for x
    x = 796,167,825.56/32,600
  6. Step 6: Final answer
    x = 24,422.33

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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.