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Finding the Fourth Proportional to 82,846.87, 124,213.60 and 57,900.49

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Solution

The fourth proportional to 82,846.87, 124,213.60 and 57,900.49 is: 86,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,846.87 : 124,213.60 = 57,900.49 : x
  2. Step 2: Convert to fraction form
    82,846.87/124,213.60 = 57,900.49/x
  3. Step 3: Cross multiply
    82,846.87x = 124,213.60 × 57,900.49
  4. Step 4: Simplify right side
    82,846.87x = 7,192,028,304.66
  5. Step 5: Solve for x
    x = 7,192,028,304.66/82,846.87
  6. Step 6: Final answer
    x = 86,811.10

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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.