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Finding the Fourth Proportional to 30,801.39, 46,201.99 and 7,427.82

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Solution

The fourth proportional to 30,801.39, 46,201.99 and 7,427.82 is: 11,141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,801.39 : 46,201.99 = 7,427.82 : x
  2. Step 2: Convert to fraction form
    30,801.39/46,201.99 = 7,427.82/x
  3. Step 3: Cross multiply
    30,801.39x = 46,201.99 × 7,427.82
  4. Step 4: Simplify right side
    30,801.39x = 343,180,065.36
  5. Step 5: Solve for x
    x = 343,180,065.36/30,801.39
  6. Step 6: Final answer
    x = 11,141.71

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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.