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Finding the Fourth Proportional to 34,808.64, 48,047.46 and 22,083

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Solution

The fourth proportional to 34,808.64, 48,047.46 and 22,083 is: 30,481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,808.64 : 48,047.46 = 22,083 : x
  2. Step 2: Convert to fraction form
    34,808.64/48,047.46 = 22,083/x
  3. Step 3: Cross multiply
    34,808.64x = 48,047.46 × 22,083
  4. Step 4: Simplify right side
    34,808.64x = 1,061,032,059.18
  5. Step 5: Solve for x
    x = 1,061,032,059.18/34,808.64
  6. Step 6: Final answer
    x = 30,481.86

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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.