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Finding the Fourth Proportional to 33,193.98, 45,813.60 and 19,773

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Solution

The fourth proportional to 33,193.98, 45,813.60 and 19,773 is: 27,290.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,193.98 : 45,813.60 = 19,773 : x
  2. Step 2: Convert to fraction form
    33,193.98/45,813.60 = 19,773/x
  3. Step 3: Cross multiply
    33,193.98x = 45,813.60 × 19,773
  4. Step 4: Simplify right side
    33,193.98x = 905,872,312.80
  5. Step 5: Solve for x
    x = 905,872,312.80/33,193.98
  6. Step 6: Final answer
    x = 27,290.26

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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.