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Finding the Fourth Proportional to 31,197.10, 46,796.19 and 11,207.92

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Solution

The fourth proportional to 31,197.10, 46,796.19 and 11,207.92 is: 16,812.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,197.10 : 46,796.19 = 11,207.92 : x
  2. Step 2: Convert to fraction form
    31,197.10/46,796.19 = 11,207.92/x
  3. Step 3: Cross multiply
    31,197.10x = 46,796.19 × 11,207.92
  4. Step 4: Simplify right side
    31,197.10x = 524,487,953.82
  5. Step 5: Solve for x
    x = 524,487,953.82/31,197.10
  6. Step 6: Final answer
    x = 16,812.07

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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.