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Finding the Fourth Proportional to 77,464, 116,196 and 19,096

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Solution

The fourth proportional to 77,464, 116,196 and 19,096 is: 28,644

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,464 : 116,196 = 19,096 : x
  2. Step 2: Convert to fraction form
    77,464/116,196 = 19,096/x
  3. Step 3: Cross multiply
    77,464x = 116,196 × 19,096
  4. Step 4: Simplify right side
    77,464x = 2,218,878,816
  5. Step 5: Solve for x
    x = 2,218,878,816/77,464
  6. Step 6: Final answer
    x = 28,644

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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.