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Finding the Fourth Proportional to 31,163.66, 46,717.70 and 11,437.64

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Solution

The fourth proportional to 31,163.66, 46,717.70 and 11,437.64 is: 17,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,163.66 : 46,717.70 = 11,437.64 : x
  2. Step 2: Convert to fraction form
    31,163.66/46,717.70 = 11,437.64/x
  3. Step 3: Cross multiply
    31,163.66x = 46,717.70 × 11,437.64
  4. Step 4: Simplify right side
    31,163.66x = 534,339,943.45
  5. Step 5: Solve for x
    x = 534,339,943.45/31,163.66
  6. Step 6: Final answer
    x = 17,146.25

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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.