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Finding the Fourth Proportional to 34,833.96, 48,078.54 and 22,898.40

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Solution

The fourth proportional to 34,833.96, 48,078.54 and 22,898.40 is: 31,604.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,833.96 : 48,078.54 = 22,898.40 : x
  2. Step 2: Convert to fraction form
    34,833.96/48,078.54 = 22,898.40/x
  3. Step 3: Cross multiply
    34,833.96x = 48,078.54 × 22,898.40
  4. Step 4: Simplify right side
    34,833.96x = 1,100,921,640.34
  5. Step 5: Solve for x
    x = 1,100,921,640.34/34,833.96
  6. Step 6: Final answer
    x = 31,604.84

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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.