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Finding the Fourth Proportional to 76,246, 105,255.96 and 50,795

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Solution

The fourth proportional to 76,246, 105,255.96 and 50,795 is: 70,121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,246 : 105,255.96 = 50,795 : x
  2. Step 2: Convert to fraction form
    76,246/105,255.96 = 50,795/x
  3. Step 3: Cross multiply
    76,246x = 105,255.96 × 50,795
  4. Step 4: Simplify right side
    76,246x = 5,346,476,488.20
  5. Step 5: Solve for x
    x = 5,346,476,488.20/76,246
  6. Step 6: Final answer
    x = 70,121.40

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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.