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Finding the Fourth Proportional to 80,846.38, 111,569.16 and 46,857.21

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Solution

The fourth proportional to 80,846.38, 111,569.16 and 46,857.21 is: 64,663.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,846.38 : 111,569.16 = 46,857.21 : x
  2. Step 2: Convert to fraction form
    80,846.38/111,569.16 = 46,857.21/x
  3. Step 3: Cross multiply
    80,846.38x = 111,569.16 × 46,857.21
  4. Step 4: Simplify right side
    80,846.38x = 5,227,819,559.64
  5. Step 5: Solve for x
    x = 5,227,819,559.64/80,846.38
  6. Step 6: Final answer
    x = 64,663.62

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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.