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Finding the Fourth Proportional to 33,407.80, 46,074.15 and 23,829.44

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Solution

The fourth proportional to 33,407.80, 46,074.15 and 23,829.44 is: 32,864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,407.80 : 46,074.15 = 23,829.44 : x
  2. Step 2: Convert to fraction form
    33,407.80/46,074.15 = 23,829.44/x
  3. Step 3: Cross multiply
    33,407.80x = 46,074.15 × 23,829.44
  4. Step 4: Simplify right side
    33,407.80x = 1,097,920,962.61
  5. Step 5: Solve for x
    x = 1,097,920,962.61/33,407.80
  6. Step 6: Final answer
    x = 32,864.21

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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.