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Finding the Fourth Proportional to 47,627.42, 71,450.54 and 16,036.20

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Solution

The fourth proportional to 47,627.42, 71,450.54 and 16,036.20 is: 24,057.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,627.42 : 71,450.54 = 16,036.20 : x
  2. Step 2: Convert to fraction form
    47,627.42/71,450.54 = 16,036.20/x
  3. Step 3: Cross multiply
    47,627.42x = 71,450.54 × 16,036.20
  4. Step 4: Simplify right side
    47,627.42x = 1,145,795,129.50
  5. Step 5: Solve for x
    x = 1,145,795,129.50/47,627.42
  6. Step 6: Final answer
    x = 24,057.47

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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.