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Finding the Fourth Proportional to 84,377.36, 126,467.64 and 46,919.48

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Solution

The fourth proportional to 84,377.36, 126,467.64 and 46,919.48 is: 70,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,377.36 : 126,467.64 = 46,919.48 : x
  2. Step 2: Convert to fraction form
    84,377.36/126,467.64 = 46,919.48/x
  3. Step 3: Cross multiply
    84,377.36x = 126,467.64 × 46,919.48
  4. Step 4: Simplify right side
    84,377.36x = 5,933,795,905.63
  5. Step 5: Solve for x
    x = 5,933,795,905.63/84,377.36
  6. Step 6: Final answer
    x = 70,324.50

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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.