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Finding the Fourth Proportional to 34,906.48, 48,146.52 and 22,966

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Solution

The fourth proportional to 34,906.48, 48,146.52 and 22,966 is: 31,677.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,906.48 : 48,146.52 = 22,966 : x
  2. Step 2: Convert to fraction form
    34,906.48/48,146.52 = 22,966/x
  3. Step 3: Cross multiply
    34,906.48x = 48,146.52 × 22,966
  4. Step 4: Simplify right side
    34,906.48x = 1,105,732,978.32
  5. Step 5: Solve for x
    x = 1,105,732,978.32/34,906.48
  6. Step 6: Final answer
    x = 31,677.01

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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.