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Finding the Fourth Proportional to 82,394.32, 113,709.99 and 46,584.67

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Solution

The fourth proportional to 82,394.32, 113,709.99 and 46,584.67 is: 64,290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,394.32 : 113,709.99 = 46,584.67 : x
  2. Step 2: Convert to fraction form
    82,394.32/113,709.99 = 46,584.67/x
  3. Step 3: Cross multiply
    82,394.32x = 113,709.99 × 46,584.67
  4. Step 4: Simplify right side
    82,394.32x = 5,297,142,359.85
  5. Step 5: Solve for x
    x = 5,297,142,359.85/82,394.32
  6. Step 6: Final answer
    x = 64,290.14

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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.