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Finding the Fourth Proportional to 31,094.65, 46,651.84 and 11,103.71

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Solution

The fourth proportional to 31,094.65, 46,651.84 and 11,103.71 is: 16,659.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094.65 : 46,651.84 = 11,103.71 : x
  2. Step 2: Convert to fraction form
    31,094.65/46,651.84 = 11,103.71/x
  3. Step 3: Cross multiply
    31,094.65x = 46,651.84 × 11,103.71
  4. Step 4: Simplify right side
    31,094.65x = 518,008,241.31
  5. Step 5: Solve for x
    x = 518,008,241.31/31,094.65
  6. Step 6: Final answer
    x = 16,659.08

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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.