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Finding the Fourth Proportional to 31,232.70, 43,100.74 and 17,803.51

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Solution

The fourth proportional to 31,232.70, 43,100.74 and 17,803.51 is: 24,568.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,232.70 : 43,100.74 = 17,803.51 : x
  2. Step 2: Convert to fraction form
    31,232.70/43,100.74 = 17,803.51/x
  3. Step 3: Cross multiply
    31,232.70x = 43,100.74 × 17,803.51
  4. Step 4: Simplify right side
    31,232.70x = 767,344,370.10
  5. Step 5: Solve for x
    x = 767,344,370.10/31,232.70
  6. Step 6: Final answer
    x = 24,568.62

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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.