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Finding the Fourth Proportional to 31,159.27, 46,745.07 and 11,438

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Solution

The fourth proportional to 31,159.27, 46,745.07 and 11,438 is: 17,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,159.27 : 46,745.07 = 11,438 : x
  2. Step 2: Convert to fraction form
    31,159.27/46,745.07 = 11,438/x
  3. Step 3: Cross multiply
    31,159.27x = 46,745.07 × 11,438
  4. Step 4: Simplify right side
    31,159.27x = 534,670,110.66
  5. Step 5: Solve for x
    x = 534,670,110.66/31,159.27
  6. Step 6: Final answer
    x = 17,159.26

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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.