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Finding the Fourth Proportional to 34,846.08, 48,107.52 and 22,944

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Solution

The fourth proportional to 34,846.08, 48,107.52 and 22,944 is: 31,675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,846.08 : 48,107.52 = 22,944 : x
  2. Step 2: Convert to fraction form
    34,846.08/48,107.52 = 22,944/x
  3. Step 3: Cross multiply
    34,846.08x = 48,107.52 × 22,944
  4. Step 4: Simplify right side
    34,846.08x = 1,103,778,938.88
  5. Step 5: Solve for x
    x = 1,103,778,938.88/34,846.08
  6. Step 6: Final answer
    x = 31,675.84

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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.