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Finding the Fourth Proportional to 114,250.48, 171,369.24 and 31,138

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Solution

The fourth proportional to 114,250.48, 171,369.24 and 31,138 is: 46,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,250.48 : 171,369.24 = 31,138 : x
  2. Step 2: Convert to fraction form
    114,250.48/171,369.24 = 31,138/x
  3. Step 3: Cross multiply
    114,250.48x = 171,369.24 × 31,138
  4. Step 4: Simplify right side
    114,250.48x = 5,336,095,395.12
  5. Step 5: Solve for x
    x = 5,336,095,395.12/114,250.48
  6. Step 6: Final answer
    x = 46,705.23

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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.