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Finding the Fourth Proportional to 47,675.94, 71,485.37 and 16,085.30

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Solution

The fourth proportional to 47,675.94, 71,485.37 and 16,085.30 is: 24,118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,675.94 : 71,485.37 = 16,085.30 : x
  2. Step 2: Convert to fraction form
    47,675.94/71,485.37 = 16,085.30/x
  3. Step 3: Cross multiply
    47,675.94x = 71,485.37 × 16,085.30
  4. Step 4: Simplify right side
    47,675.94x = 1,149,863,622.06
  5. Step 5: Solve for x
    x = 1,149,863,622.06/47,675.94
  6. Step 6: Final answer
    x = 24,118.32

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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.