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Finding the Fourth Proportional to 31,305.70, 46,961.52 and 8,816.32

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Solution

The fourth proportional to 31,305.70, 46,961.52 and 8,816.32 is: 13,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,305.70 : 46,961.52 = 8,816.32 : x
  2. Step 2: Convert to fraction form
    31,305.70/46,961.52 = 8,816.32/x
  3. Step 3: Cross multiply
    31,305.70x = 46,961.52 × 8,816.32
  4. Step 4: Simplify right side
    31,305.70x = 414,027,788.01
  5. Step 5: Solve for x
    x = 414,027,788.01/31,305.70
  6. Step 6: Final answer
    x = 13,225.32

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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.