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Finding the Fourth Proportional to 51,902.37, 71,621.48 and 30,677.54

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Solution

The fourth proportional to 51,902.37, 71,621.48 and 30,677.54 is: 42,332.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,902.37 : 71,621.48 = 30,677.54 : x
  2. Step 2: Convert to fraction form
    51,902.37/71,621.48 = 30,677.54/x
  3. Step 3: Cross multiply
    51,902.37x = 71,621.48 × 30,677.54
  4. Step 4: Simplify right side
    51,902.37x = 2,197,170,536.15
  5. Step 5: Solve for x
    x = 2,197,170,536.15/51,902.37
  6. Step 6: Final answer
    x = 42,332.76

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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.