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Finding the Fourth Proportional to 32,401.69, 44,714.33 and 17,497.69

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Solution

The fourth proportional to 32,401.69, 44,714.33 and 17,497.69 is: 24,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,401.69 : 44,714.33 = 17,497.69 : x
  2. Step 2: Convert to fraction form
    32,401.69/44,714.33 = 17,497.69/x
  3. Step 3: Cross multiply
    32,401.69x = 44,714.33 × 17,497.69
  4. Step 4: Simplify right side
    32,401.69x = 782,397,351.24
  5. Step 5: Solve for x
    x = 782,397,351.24/32,401.69
  6. Step 6: Final answer
    x = 24,146.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.