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Finding the Fourth Proportional to 84,610.56, 116,764.56 and 46,884

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Solution

The fourth proportional to 84,610.56, 116,764.56 and 46,884 is: 64,701.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,610.56 : 116,764.56 = 46,884 : x
  2. Step 2: Convert to fraction form
    84,610.56/116,764.56 = 46,884/x
  3. Step 3: Cross multiply
    84,610.56x = 116,764.56 × 46,884
  4. Step 4: Simplify right side
    84,610.56x = 5,474,389,631.04
  5. Step 5: Solve for x
    x = 5,474,389,631.04/84,610.56
  6. Step 6: Final answer
    x = 64,701.02

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