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Finding the Fourth Proportional to 82,391.37, 123,623.96 and 37,994.32

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Solution

The fourth proportional to 82,391.37, 123,623.96 and 37,994.32 is: 57,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,391.37 : 123,623.96 = 37,994.32 : x
  2. Step 2: Convert to fraction form
    82,391.37/123,623.96 = 37,994.32/x
  3. Step 3: Cross multiply
    82,391.37x = 123,623.96 × 37,994.32
  4. Step 4: Simplify right side
    82,391.37x = 4,697,008,295.91
  5. Step 5: Solve for x
    x = 4,697,008,295.91/82,391.37
  6. Step 6: Final answer
    x = 57,008.50

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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.