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Finding the Fourth Proportional to 30,867.84, 46,169.91 and 25,771.05

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Solution

The fourth proportional to 30,867.84, 46,169.91 and 25,771.05 is: 38,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867.84 : 46,169.91 = 25,771.05 : x
  2. Step 2: Convert to fraction form
    30,867.84/46,169.91 = 25,771.05/x
  3. Step 3: Cross multiply
    30,867.84x = 46,169.91 × 25,771.05
  4. Step 4: Simplify right side
    30,867.84x = 1,189,847,059.11
  5. Step 5: Solve for x
    x = 1,189,847,059.11/30,867.84
  6. Step 6: Final answer
    x = 38,546.50

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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.