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Finding the Fourth Proportional to 89,822, 134,732.46 and 23,261.96

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Solution

The fourth proportional to 89,822, 134,732.46 and 23,261.96 is: 34,892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,822 : 134,732.46 = 23,261.96 : x
  2. Step 2: Convert to fraction form
    89,822/134,732.46 = 23,261.96/x
  3. Step 3: Cross multiply
    89,822x = 134,732.46 × 23,261.96
  4. Step 4: Simplify right side
    89,822x = 3,134,141,095.22
  5. Step 5: Solve for x
    x = 3,134,141,095.22/89,822
  6. Step 6: Final answer
    x = 34,892.80

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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.