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Finding the Fourth Proportional to 39,782.42, 54,899.88 and 21,878.54

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Solution

The fourth proportional to 39,782.42, 54,899.88 and 21,878.54 is: 30,192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,782.42 : 54,899.88 = 21,878.54 : x
  2. Step 2: Convert to fraction form
    39,782.42/54,899.88 = 21,878.54/x
  3. Step 3: Cross multiply
    39,782.42x = 54,899.88 × 21,878.54
  4. Step 4: Simplify right side
    39,782.42x = 1,201,129,220.58
  5. Step 5: Solve for x
    x = 1,201,129,220.58/39,782.42
  6. Step 6: Final answer
    x = 30,192.46

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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.