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Finding the Fourth Proportional to 29,762.67, 41,074.38 and 21,698.31

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Solution

The fourth proportional to 29,762.67, 41,074.38 and 21,698.31 is: 29,945.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,762.67 : 41,074.38 = 21,698.31 : x
  2. Step 2: Convert to fraction form
    29,762.67/41,074.38 = 21,698.31/x
  3. Step 3: Cross multiply
    29,762.67x = 41,074.38 × 21,698.31
  4. Step 4: Simplify right side
    29,762.67x = 891,244,630.30
  5. Step 5: Solve for x
    x = 891,244,630.30/29,762.67
  6. Step 6: Final answer
    x = 29,945.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.