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Finding the Fourth Proportional to 31,728.70, 43,696.83 and 31,039.93

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Solution

The fourth proportional to 31,728.70, 43,696.83 and 31,039.93 is: 42,748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,728.70 : 43,696.83 = 31,039.93 : x
  2. Step 2: Convert to fraction form
    31,728.70/43,696.83 = 31,039.93/x
  3. Step 3: Cross multiply
    31,728.70x = 43,696.83 × 31,039.93
  4. Step 4: Simplify right side
    31,728.70x = 1,356,346,544.42
  5. Step 5: Solve for x
    x = 1,356,346,544.42/31,728.70
  6. Step 6: Final answer
    x = 42,748.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.