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Finding the Fourth Proportional to 47,903.64, 71,855.88 and 16,738.96

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Solution

The fourth proportional to 47,903.64, 71,855.88 and 16,738.96 is: 25,108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,903.64 : 71,855.88 = 16,738.96 : x
  2. Step 2: Convert to fraction form
    47,903.64/71,855.88 = 16,738.96/x
  3. Step 3: Cross multiply
    47,903.64x = 71,855.88 × 16,738.96
  4. Step 4: Simplify right side
    47,903.64x = 1,202,792,701.08
  5. Step 5: Solve for x
    x = 1,202,792,701.08/47,903.64
  6. Step 6: Final answer
    x = 25,108.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.