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Finding the Fourth Proportional to 51,571.58, 71,162.40 and 31,421.14

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Solution

The fourth proportional to 51,571.58, 71,162.40 and 31,421.14 is: 43,357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,571.58 : 71,162.40 = 31,421.14 : x
  2. Step 2: Convert to fraction form
    51,571.58/71,162.40 = 31,421.14/x
  3. Step 3: Cross multiply
    51,571.58x = 71,162.40 × 31,421.14
  4. Step 4: Simplify right side
    51,571.58x = 2,236,003,733.14
  5. Step 5: Solve for x
    x = 2,236,003,733.14/51,571.58
  6. Step 6: Final answer
    x = 43,357.29

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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.