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Finding the Fourth Proportional to 31,138.67, 46,726.45 and 29,168.43

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Solution

The fourth proportional to 31,138.67, 46,726.45 and 29,168.43 is: 43,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,138.67 : 46,726.45 = 29,168.43 : x
  2. Step 2: Convert to fraction form
    31,138.67/46,726.45 = 29,168.43/x
  3. Step 3: Cross multiply
    31,138.67x = 46,726.45 × 29,168.43
  4. Step 4: Simplify right side
    31,138.67x = 1,362,937,185.97
  5. Step 5: Solve for x
    x = 1,362,937,185.97/31,138.67
  6. Step 6: Final answer
    x = 43,769.93

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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.