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Finding the Fourth Proportional to 51,706.88, 71,316.48 and 34,933.76

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Solution

The fourth proportional to 51,706.88, 71,316.48 and 34,933.76 is: 48,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,706.88 : 71,316.48 = 34,933.76 : x
  2. Step 2: Convert to fraction form
    51,706.88/71,316.48 = 34,933.76/x
  3. Step 3: Cross multiply
    51,706.88x = 71,316.48 × 34,933.76
  4. Step 4: Simplify right side
    51,706.88x = 2,491,352,796.36
  5. Step 5: Solve for x
    x = 2,491,352,796.36/51,706.88
  6. Step 6: Final answer
    x = 48,182.23

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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.