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Finding the Fourth Proportional to 76,427.82, 113,853.74 and 74,106.36

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Solution

The fourth proportional to 76,427.82, 113,853.74 and 74,106.36 is: 110,395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,427.82 : 113,853.74 = 74,106.36 : x
  2. Step 2: Convert to fraction form
    76,427.82/113,853.74 = 74,106.36/x
  3. Step 3: Cross multiply
    76,427.82x = 113,853.74 × 74,106.36
  4. Step 4: Simplify right side
    76,427.82x = 8,437,285,873.25
  5. Step 5: Solve for x
    x = 8,437,285,873.25/76,427.82
  6. Step 6: Final answer
    x = 110,395.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.