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Finding the Fourth Proportional to 51,540.70, 77,340.78 and 27,848.32

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Solution

The fourth proportional to 51,540.70, 77,340.78 and 27,848.32 is: 41,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,540.70 : 77,340.78 = 27,848.32 : x
  2. Step 2: Convert to fraction form
    51,540.70/77,340.78 = 27,848.32/x
  3. Step 3: Cross multiply
    51,540.70x = 77,340.78 × 27,848.32
  4. Step 4: Simplify right side
    51,540.70x = 2,153,810,790.49
  5. Step 5: Solve for x
    x = 2,153,810,790.49/51,540.70
  6. Step 6: Final answer
    x = 41,788.54

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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.