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Finding the Fourth Proportional to 51,049.25, 70,437.64 and 29,824.41

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Solution

The fourth proportional to 51,049.25, 70,437.64 and 29,824.41 is: 41,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,049.25 : 70,437.64 = 29,824.41 : x
  2. Step 2: Convert to fraction form
    51,049.25/70,437.64 = 29,824.41/x
  3. Step 3: Cross multiply
    51,049.25x = 70,437.64 × 29,824.41
  4. Step 4: Simplify right side
    51,049.25x = 2,100,761,078.32
  5. Step 5: Solve for x
    x = 2,100,761,078.32/51,049.25
  6. Step 6: Final answer
    x = 41,151.66

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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.