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Finding the Fourth Proportional to 31,093.65, 46,611.06 and 12,385.23

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Solution

The fourth proportional to 31,093.65, 46,611.06 and 12,385.23 is: 18,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,093.65 : 46,611.06 = 12,385.23 : x
  2. Step 2: Convert to fraction form
    31,093.65/46,611.06 = 12,385.23/x
  3. Step 3: Cross multiply
    31,093.65x = 46,611.06 × 12,385.23
  4. Step 4: Simplify right side
    31,093.65x = 577,288,698.64
  5. Step 5: Solve for x
    x = 577,288,698.64/31,093.65
  6. Step 6: Final answer
    x = 18,566.13

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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.