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Finding the Fourth Proportional to 33,058.98, 49,588.37 and 11,999

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Solution

The fourth proportional to 33,058.98, 49,588.37 and 11,999 is: 17,998.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,058.98 : 49,588.37 = 11,999 : x
  2. Step 2: Convert to fraction form
    33,058.98/49,588.37 = 11,999/x
  3. Step 3: Cross multiply
    33,058.98x = 49,588.37 × 11,999
  4. Step 4: Simplify right side
    33,058.98x = 595,010,851.63
  5. Step 5: Solve for x
    x = 595,010,851.63/33,058.98
  6. Step 6: Final answer
    x = 17,998.46

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1.5x scale

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.