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Finding the Fourth Proportional to 29,075, 43,628.26 and 22,514

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Solution

The fourth proportional to 29,075, 43,628.26 and 22,514 is: 33,783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,075 : 43,628.26 = 22,514 : x
  2. Step 2: Convert to fraction form
    29,075/43,628.26 = 22,514/x
  3. Step 3: Cross multiply
    29,075x = 43,628.26 × 22,514
  4. Step 4: Simplify right side
    29,075x = 982,246,645.64
  5. Step 5: Solve for x
    x = 982,246,645.64/29,075
  6. Step 6: Final answer
    x = 33,783.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.