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Finding the Fourth Proportional to 82,544.64, 113,912.64 and 44,819.52

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Solution

The fourth proportional to 82,544.64, 113,912.64 and 44,819.52 is: 61,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,544.64 : 113,912.64 = 44,819.52 : x
  2. Step 2: Convert to fraction form
    82,544.64/113,912.64 = 44,819.52/x
  3. Step 3: Cross multiply
    82,544.64x = 113,912.64 × 44,819.52
  4. Step 4: Simplify right side
    82,544.64x = 5,105,509,846.73
  5. Step 5: Solve for x
    x = 5,105,509,846.73/82,544.64
  6. Step 6: Final answer
    x = 61,851.50

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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.