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Finding the Fourth Proportional to 31,120.32, 46,663.84 and 10,336.32

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Solution

The fourth proportional to 31,120.32, 46,663.84 and 10,336.32 is: 15,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,120.32 : 46,663.84 = 10,336.32 : x
  2. Step 2: Convert to fraction form
    31,120.32/46,663.84 = 10,336.32/x
  3. Step 3: Cross multiply
    31,120.32x = 46,663.84 × 10,336.32
  4. Step 4: Simplify right side
    31,120.32x = 482,332,382.67
  5. Step 5: Solve for x
    x = 482,332,382.67/31,120.32
  6. Step 6: Final answer
    x = 15,498.95

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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.