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Finding the Fourth Proportional to 31,305.60, 46,959.98 and 7,932.24

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Solution

The fourth proportional to 31,305.60, 46,959.98 and 7,932.24 is: 11,898.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,305.60 : 46,959.98 = 7,932.24 : x
  2. Step 2: Convert to fraction form
    31,305.60/46,959.98 = 7,932.24/x
  3. Step 3: Cross multiply
    31,305.60x = 46,959.98 × 7,932.24
  4. Step 4: Simplify right side
    31,305.60x = 372,497,831.76
  5. Step 5: Solve for x
    x = 372,497,831.76/31,305.60
  6. Step 6: Final answer
    x = 11,898.76

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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.