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Finding the Fourth Proportional to 80,412.39, 110,974.14 and 46,427.11

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Solution

The fourth proportional to 80,412.39, 110,974.14 and 46,427.11 is: 64,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,412.39 : 110,974.14 = 46,427.11 : x
  2. Step 2: Convert to fraction form
    80,412.39/110,974.14 = 46,427.11/x
  3. Step 3: Cross multiply
    80,412.39x = 110,974.14 × 46,427.11
  4. Step 4: Simplify right side
    80,412.39x = 5,152,208,604.94
  5. Step 5: Solve for x
    x = 5,152,208,604.94/80,412.39
  6. Step 6: Final answer
    x = 64,072.32

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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.