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Finding the Fourth Proportional to 49,411.68, 68,193.84 and 28,194

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Solution

The fourth proportional to 49,411.68, 68,193.84 and 28,194 is: 38,910.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,411.68 : 68,193.84 = 28,194 : x
  2. Step 2: Convert to fraction form
    49,411.68/68,193.84 = 28,194/x
  3. Step 3: Cross multiply
    49,411.68x = 68,193.84 × 28,194
  4. Step 4: Simplify right side
    49,411.68x = 1,922,657,124.96
  5. Step 5: Solve for x
    x = 1,922,657,124.96/49,411.68
  6. Step 6: Final answer
    x = 38,910.98

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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.