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Finding the Fourth Proportional to 51,095.96, 76,533.14 and 24,745.44

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Solution

The fourth proportional to 51,095.96, 76,533.14 and 24,745.44 is: 37,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,095.96 : 76,533.14 = 24,745.44 : x
  2. Step 2: Convert to fraction form
    51,095.96/76,533.14 = 24,745.44/x
  3. Step 3: Cross multiply
    51,095.96x = 76,533.14 × 24,745.44
  4. Step 4: Simplify right side
    51,095.96x = 1,893,846,223.88
  5. Step 5: Solve for x
    x = 1,893,846,223.88/51,095.96
  6. Step 6: Final answer
    x = 37,064.50

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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.