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Finding the Fourth Proportional to 51,453.54, 71,012.21 and 31,312.49

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Solution

The fourth proportional to 51,453.54, 71,012.21 and 31,312.49 is: 43,215.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,453.54 : 71,012.21 = 31,312.49 : x
  2. Step 2: Convert to fraction form
    51,453.54/71,012.21 = 31,312.49/x
  3. Step 3: Cross multiply
    51,453.54x = 71,012.21 × 31,312.49
  4. Step 4: Simplify right side
    51,453.54x = 2,223,568,603.88
  5. Step 5: Solve for x
    x = 2,223,568,603.88/51,453.54
  6. Step 6: Final answer
    x = 43,215.08

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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.