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Finding the Fourth Proportional to 49,194, 73,798.20 and 15,903

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Solution

The fourth proportional to 49,194, 73,798.20 and 15,903 is: 23,856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,194 : 73,798.20 = 15,903 : x
  2. Step 2: Convert to fraction form
    49,194/73,798.20 = 15,903/x
  3. Step 3: Cross multiply
    49,194x = 73,798.20 × 15,903
  4. Step 4: Simplify right side
    49,194x = 1,173,612,774.60
  5. Step 5: Solve for x
    x = 1,173,612,774.60/49,194
  6. Step 6: Final answer
    x = 23,856.83

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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.