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Finding the Fourth Proportional to 54,840.77, 82,198.07 and 25,196.32

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Solution

The fourth proportional to 54,840.77, 82,198.07 and 25,196.32 is: 37,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,840.77 : 82,198.07 = 25,196.32 : x
  2. Step 2: Convert to fraction form
    54,840.77/82,198.07 = 25,196.32/x
  3. Step 3: Cross multiply
    54,840.77x = 82,198.07 × 25,196.32
  4. Step 4: Simplify right side
    54,840.77x = 2,071,088,875.10
  5. Step 5: Solve for x
    x = 2,071,088,875.10/54,840.77
  6. Step 6: Final answer
    x = 37,765.50

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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.