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Finding the Fourth Proportional to 47,645.68, 71,474.16 and 12,585.64

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Solution

The fourth proportional to 47,645.68, 71,474.16 and 12,585.64 is: 18,879.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,645.68 : 71,474.16 = 12,585.64 : x
  2. Step 2: Convert to fraction form
    47,645.68/71,474.16 = 12,585.64/x
  3. Step 3: Cross multiply
    47,645.68x = 71,474.16 × 12,585.64
  4. Step 4: Simplify right side
    47,645.68x = 899,548,047.06
  5. Step 5: Solve for x
    x = 899,548,047.06/47,645.68
  6. Step 6: Final answer
    x = 18,879.95

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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.