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Finding the Fourth Proportional to 32,384.93, 44,688.17 and 23,891.78

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Solution

The fourth proportional to 32,384.93, 44,688.17 and 23,891.78 is: 32,968.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,384.93 : 44,688.17 = 23,891.78 : x
  2. Step 2: Convert to fraction form
    32,384.93/44,688.17 = 23,891.78/x
  3. Step 3: Cross multiply
    32,384.93x = 44,688.17 × 23,891.78
  4. Step 4: Simplify right side
    32,384.93x = 1,067,679,583.34
  5. Step 5: Solve for x
    x = 1,067,679,583.34/32,384.93
  6. Step 6: Final answer
    x = 32,968.41

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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.