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Finding the Fourth Proportional to 72,834.68, 100,511.76 and 41,013.86

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Solution

The fourth proportional to 72,834.68, 100,511.76 and 41,013.86 is: 56,599.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,834.68 : 100,511.76 = 41,013.86 : x
  2. Step 2: Convert to fraction form
    72,834.68/100,511.76 = 41,013.86/x
  3. Step 3: Cross multiply
    72,834.68x = 100,511.76 × 41,013.86
  4. Step 4: Simplify right side
    72,834.68x = 4,122,375,252.99
  5. Step 5: Solve for x
    x = 4,122,375,252.99/72,834.68
  6. Step 6: Final answer
    x = 56,599.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.