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Finding the Fourth Proportional to 54,848.87, 82,211.10 and 25,205.45

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Solution

The fourth proportional to 54,848.87, 82,211.10 and 25,205.45 is: 37,779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,848.87 : 82,211.10 = 25,205.45 : x
  2. Step 2: Convert to fraction form
    54,848.87/82,211.10 = 25,205.45/x
  3. Step 3: Cross multiply
    54,848.87x = 82,211.10 × 25,205.45
  4. Step 4: Simplify right side
    54,848.87x = 2,072,167,359.44
  5. Step 5: Solve for x
    x = 2,072,167,359.44/54,848.87
  6. Step 6: Final answer
    x = 37,779.59

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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.