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Finding the Fourth Proportional to 49,324.88, 73,941.14 and 24,018.86

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Solution

The fourth proportional to 49,324.88, 73,941.14 and 24,018.86 is: 36,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,324.88 : 73,941.14 = 24,018.86 : x
  2. Step 2: Convert to fraction form
    49,324.88/73,941.14 = 24,018.86/x
  3. Step 3: Cross multiply
    49,324.88x = 73,941.14 × 24,018.86
  4. Step 4: Simplify right side
    49,324.88x = 1,775,981,889.90
  5. Step 5: Solve for x
    x = 1,775,981,889.90/49,324.88
  6. Step 6: Final answer
    x = 36,005.80

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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.