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Finding the Fourth Proportional to 84,651.56, 116,811.30 and 46,922.60

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Solution

The fourth proportional to 84,651.56, 116,811.30 and 46,922.60 is: 64,748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,651.56 : 116,811.30 = 46,922.60 : x
  2. Step 2: Convert to fraction form
    84,651.56/116,811.30 = 46,922.60/x
  3. Step 3: Cross multiply
    84,651.56x = 116,811.30 × 46,922.60
  4. Step 4: Simplify right side
    84,651.56x = 5,481,089,905.38
  5. Step 5: Solve for x
    x = 5,481,089,905.38/84,651.56
  6. Step 6: Final answer
    x = 64,748.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.