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Finding the Fourth Proportional to 47,902.76, 71,886.98 and 16,738

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Solution

The fourth proportional to 47,902.76, 71,886.98 and 16,738 is: 25,118.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,902.76 : 71,886.98 = 16,738 : x
  2. Step 2: Convert to fraction form
    47,902.76/71,886.98 = 16,738/x
  3. Step 3: Cross multiply
    47,902.76x = 71,886.98 × 16,738
  4. Step 4: Simplify right side
    47,902.76x = 1,203,244,271.24
  5. Step 5: Solve for x
    x = 1,203,244,271.24/47,902.76
  6. Step 6: Final answer
    x = 25,118.47

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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.