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Finding the Fourth Proportional to 51,865.42, 71,561.64 and 29,200

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Solution

The fourth proportional to 51,865.42, 71,561.64 and 29,200 is: 40,288.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,865.42 : 71,561.64 = 29,200 : x
  2. Step 2: Convert to fraction form
    51,865.42/71,561.64 = 29,200/x
  3. Step 3: Cross multiply
    51,865.42x = 71,561.64 × 29,200
  4. Step 4: Simplify right side
    51,865.42x = 2,089,599,888
  5. Step 5: Solve for x
    x = 2,089,599,888/51,865.42
  6. Step 6: Final answer
    x = 40,288.88

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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.