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Finding the Fourth Proportional to 49,191, 73,793.70 and 15,900

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Solution

The fourth proportional to 49,191, 73,793.70 and 15,900 is: 23,852.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,191 : 73,793.70 = 15,900 : x
  2. Step 2: Convert to fraction form
    49,191/73,793.70 = 15,900/x
  3. Step 3: Cross multiply
    49,191x = 73,793.70 × 15,900
  4. Step 4: Simplify right side
    49,191x = 1,173,319,830
  5. Step 5: Solve for x
    x = 1,173,319,830/49,191
  6. Step 6: Final answer
    x = 23,852.33

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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.