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Finding the Fourth Proportional to 31,388.54, 47,082.81 and 10,611.50

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Solution

The fourth proportional to 31,388.54, 47,082.81 and 10,611.50 is: 15,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,388.54 : 47,082.81 = 10,611.50 : x
  2. Step 2: Convert to fraction form
    31,388.54/47,082.81 = 10,611.50/x
  3. Step 3: Cross multiply
    31,388.54x = 47,082.81 × 10,611.50
  4. Step 4: Simplify right side
    31,388.54x = 499,619,238.32
  5. Step 5: Solve for x
    x = 499,619,238.32/31,388.54
  6. Step 6: Final answer
    x = 15,917.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.