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Finding the Fourth Proportional to 47,751.62, 71,627.43 and 16,586.90

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Solution

The fourth proportional to 47,751.62, 71,627.43 and 16,586.90 is: 24,880.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751.62 : 71,627.43 = 16,586.90 : x
  2. Step 2: Convert to fraction form
    47,751.62/71,627.43 = 16,586.90/x
  3. Step 3: Cross multiply
    47,751.62x = 71,627.43 × 16,586.90
  4. Step 4: Simplify right side
    47,751.62x = 1,188,077,018.67
  5. Step 5: Solve for x
    x = 1,188,077,018.67/47,751.62
  6. Step 6: Final answer
    x = 24,880.35

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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.