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Finding the Fourth Proportional to 47,650.93, 71,478.96 and 12,589.63

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Solution

The fourth proportional to 47,650.93, 71,478.96 and 12,589.63 is: 18,885.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,650.93 : 71,478.96 = 12,589.63 : x
  2. Step 2: Convert to fraction form
    47,650.93/71,478.96 = 12,589.63/x
  3. Step 3: Cross multiply
    47,650.93x = 71,478.96 × 12,589.63
  4. Step 4: Simplify right side
    47,650.93x = 899,893,659.18
  5. Step 5: Solve for x
    x = 899,893,659.18/47,650.93
  6. Step 6: Final answer
    x = 18,885.12

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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.