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Finding the Fourth Proportional to 82,394.87, 113,700.24 and 46,586.39

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Solution

The fourth proportional to 82,394.87, 113,700.24 and 46,586.39 is: 64,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,394.87 : 113,700.24 = 46,586.39 : x
  2. Step 2: Convert to fraction form
    82,394.87/113,700.24 = 46,586.39/x
  3. Step 3: Cross multiply
    82,394.87x = 113,700.24 × 46,586.39
  4. Step 4: Simplify right side
    82,394.87x = 5,296,883,155.23
  5. Step 5: Solve for x
    x = 5,296,883,155.23/82,394.87
  6. Step 6: Final answer
    x = 64,286.57

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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.