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Finding the Fourth Proportional to 31,164.42, 46,757.52 and 13,635.57

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Solution

The fourth proportional to 31,164.42, 46,757.52 and 13,635.57 is: 20,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164.42 : 46,757.52 = 13,635.57 : x
  2. Step 2: Convert to fraction form
    31,164.42/46,757.52 = 13,635.57/x
  3. Step 3: Cross multiply
    31,164.42x = 46,757.52 × 13,635.57
  4. Step 4: Simplify right side
    31,164.42x = 637,565,436.99
  5. Step 5: Solve for x
    x = 637,565,436.99/31,164.42
  6. Step 6: Final answer
    x = 20,458.12

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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.