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Finding the Fourth Proportional to 76,053.86, 114,079.47 and 22,745.96

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Solution

The fourth proportional to 76,053.86, 114,079.47 and 22,745.96 is: 34,118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,053.86 : 114,079.47 = 22,745.96 : x
  2. Step 2: Convert to fraction form
    76,053.86/114,079.47 = 22,745.96/x
  3. Step 3: Cross multiply
    76,053.86x = 114,079.47 × 22,745.96
  4. Step 4: Simplify right side
    76,053.86x = 2,594,846,491.04
  5. Step 5: Solve for x
    x = 2,594,846,491.04/76,053.86
  6. Step 6: Final answer
    x = 34,118.54

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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.