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Finding the Fourth Proportional to 73,706, 110,576.28 and 24,458

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Solution

The fourth proportional to 73,706, 110,576.28 and 24,458 is: 36,692.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,706 : 110,576.28 = 24,458 : x
  2. Step 2: Convert to fraction form
    73,706/110,576.28 = 24,458/x
  3. Step 3: Cross multiply
    73,706x = 110,576.28 × 24,458
  4. Step 4: Simplify right side
    73,706x = 2,704,474,656.24
  5. Step 5: Solve for x
    x = 2,704,474,656.24/73,706
  6. Step 6: Final answer
    x = 36,692.73

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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.