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Finding the Fourth Proportional to 85,443.98, 117,907.38 and 51,463.46

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Solution

The fourth proportional to 85,443.98, 117,907.38 and 51,463.46 is: 71,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,443.98 : 117,907.38 = 51,463.46 : x
  2. Step 2: Convert to fraction form
    85,443.98/117,907.38 = 51,463.46/x
  3. Step 3: Cross multiply
    85,443.98x = 117,907.38 × 51,463.46
  4. Step 4: Simplify right side
    85,443.98x = 6,067,921,734.33
  5. Step 5: Solve for x
    x = 6,067,921,734.33/85,443.98
  6. Step 6: Final answer
    x = 71,016.38

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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.