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Finding the Fourth Proportional to 32,401.50, 44,714.07 and 17,497.50

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Solution

The fourth proportional to 32,401.50, 44,714.07 and 17,497.50 is: 24,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,401.50 : 44,714.07 = 17,497.50 : x
  2. Step 2: Convert to fraction form
    32,401.50/44,714.07 = 17,497.50/x
  3. Step 3: Cross multiply
    32,401.50x = 44,714.07 × 17,497.50
  4. Step 4: Simplify right side
    32,401.50x = 782,384,439.83
  5. Step 5: Solve for x
    x = 782,384,439.83/32,401.50
  6. Step 6: Final answer
    x = 24,146.55

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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.