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Finding the Fourth Proportional to 47,804.96, 71,716.56 and 18,220.32

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Solution

The fourth proportional to 47,804.96, 71,716.56 and 18,220.32 is: 27,333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,804.96 : 71,716.56 = 18,220.32 : x
  2. Step 2: Convert to fraction form
    47,804.96/71,716.56 = 18,220.32/x
  3. Step 3: Cross multiply
    47,804.96x = 71,716.56 × 18,220.32
  4. Step 4: Simplify right side
    47,804.96x = 1,306,698,672.50
  5. Step 5: Solve for x
    x = 1,306,698,672.50/47,804.96
  6. Step 6: Final answer
    x = 27,333.96

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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.