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Finding the Fourth Proportional to 20,538.42, 30,807.54 and 4,956

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Solution

The fourth proportional to 20,538.42, 30,807.54 and 4,956 is: 7,433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538.42 : 30,807.54 = 4,956 : x
  2. Step 2: Convert to fraction form
    20,538.42/30,807.54 = 4,956/x
  3. Step 3: Cross multiply
    20,538.42x = 30,807.54 × 4,956
  4. Step 4: Simplify right side
    20,538.42x = 152,682,168.24
  5. Step 5: Solve for x
    x = 152,682,168.24/20,538.42
  6. Step 6: Final answer
    x = 7,433.98

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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.