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Finding the Fourth Proportional to 32,193.06, 48,307.86 and 17,401.62

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Solution

The fourth proportional to 32,193.06, 48,307.86 and 17,401.62 is: 26,112.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,193.06 : 48,307.86 = 17,401.62 : x
  2. Step 2: Convert to fraction form
    32,193.06/48,307.86 = 17,401.62/x
  3. Step 3: Cross multiply
    32,193.06x = 48,307.86 × 17,401.62
  4. Step 4: Simplify right side
    32,193.06x = 840,635,022.73
  5. Step 5: Solve for x
    x = 840,635,022.73/32,193.06
  6. Step 6: Final answer
    x = 26,112.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.