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Finding the Fourth Proportional to 31,305.08, 46,956.94 and 7,612.76

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Solution

The fourth proportional to 31,305.08, 46,956.94 and 7,612.76 is: 11,418.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,305.08 : 46,956.94 = 7,612.76 : x
  2. Step 2: Convert to fraction form
    31,305.08/46,956.94 = 7,612.76/x
  3. Step 3: Cross multiply
    31,305.08x = 46,956.94 × 7,612.76
  4. Step 4: Simplify right side
    31,305.08x = 357,471,914.55
  5. Step 5: Solve for x
    x = 357,471,914.55/31,305.08
  6. Step 6: Final answer
    x = 11,418.97

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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.