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Finding the Fourth Proportional to 33,078.95, 49,682.25 and 28,345.84

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Solution

The fourth proportional to 33,078.95, 49,682.25 and 28,345.84 is: 42,573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,078.95 : 49,682.25 = 28,345.84 : x
  2. Step 2: Convert to fraction form
    33,078.95/49,682.25 = 28,345.84/x
  3. Step 3: Cross multiply
    33,078.95x = 49,682.25 × 28,345.84
  4. Step 4: Simplify right side
    33,078.95x = 1,408,285,304.41
  5. Step 5: Solve for x
    x = 1,408,285,304.41/33,078.95
  6. Step 6: Final answer
    x = 42,573.46

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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.