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Finding the Fourth Proportional to 81,342, 112,245.78 and 49,507.38

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Solution

The fourth proportional to 81,342, 112,245.78 and 49,507.38 is: 68,316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,342 : 112,245.78 = 49,507.38 : x
  2. Step 2: Convert to fraction form
    81,342/112,245.78 = 49,507.38/x
  3. Step 3: Cross multiply
    81,342x = 112,245.78 × 49,507.38
  4. Step 4: Simplify right side
    81,342x = 5,556,994,483.86
  5. Step 5: Solve for x
    x = 5,556,994,483.86/81,342
  6. Step 6: Final answer
    x = 68,316.42

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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.