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Finding the Fourth Proportional to 82,376, 113,679 and 44,650.64

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Solution

The fourth proportional to 82,376, 113,679 and 44,650.64 is: 61,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,376 : 113,679 = 44,650.64 : x
  2. Step 2: Convert to fraction form
    82,376/113,679 = 44,650.64/x
  3. Step 3: Cross multiply
    82,376x = 113,679 × 44,650.64
  4. Step 4: Simplify right side
    82,376x = 5,075,840,104.56
  5. Step 5: Solve for x
    x = 5,075,840,104.56/82,376
  6. Step 6: Final answer
    x = 61,617.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.