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Finding the Fourth Proportional to 31,163.42, 46,743.54 and 11,440.46

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Solution

The fourth proportional to 31,163.42, 46,743.54 and 11,440.46 is: 17,160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,163.42 : 46,743.54 = 11,440.46 : x
  2. Step 2: Convert to fraction form
    31,163.42/46,743.54 = 11,440.46/x
  3. Step 3: Cross multiply
    31,163.42x = 46,743.54 × 11,440.46
  4. Step 4: Simplify right side
    31,163.42x = 534,767,365.91
  5. Step 5: Solve for x
    x = 534,767,365.91/31,163.42
  6. Step 6: Final answer
    x = 17,160.10

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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.