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Finding the Fourth Proportional to 33,175, 45,781.50 and 19,927

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Solution

The fourth proportional to 33,175, 45,781.50 and 19,927 is: 27,499.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,175 : 45,781.50 = 19,927 : x
  2. Step 2: Convert to fraction form
    33,175/45,781.50 = 19,927/x
  3. Step 3: Cross multiply
    33,175x = 45,781.50 × 19,927
  4. Step 4: Simplify right side
    33,175x = 912,287,950.50
  5. Step 5: Solve for x
    x = 912,287,950.50/33,175
  6. Step 6: Final answer
    x = 27,499.26

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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.