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Finding the Fourth Proportional to 47,541.96, 71,310.06 and 12,480.84

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Solution

The fourth proportional to 47,541.96, 71,310.06 and 12,480.84 is: 18,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,541.96 : 71,310.06 = 12,480.84 : x
  2. Step 2: Convert to fraction form
    47,541.96/71,310.06 = 12,480.84/x
  3. Step 3: Cross multiply
    47,541.96x = 71,310.06 × 12,480.84
  4. Step 4: Simplify right side
    47,541.96x = 890,009,449.25
  5. Step 5: Solve for x
    x = 890,009,449.25/47,541.96
  6. Step 6: Final answer
    x = 18,720.50

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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.