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Finding the Fourth Proportional to 54,409.70, 81,796.80 and 47,192.60

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Solution

The fourth proportional to 54,409.70, 81,796.80 and 47,192.60 is: 70,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,409.70 : 81,796.80 = 47,192.60 : x
  2. Step 2: Convert to fraction form
    54,409.70/81,796.80 = 47,192.60/x
  3. Step 3: Cross multiply
    54,409.70x = 81,796.80 × 47,192.60
  4. Step 4: Simplify right side
    54,409.70x = 3,860,203,663.68
  5. Step 5: Solve for x
    x = 3,860,203,663.68/54,409.70
  6. Step 6: Final answer
    x = 70,946.98

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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.