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Finding the Fourth Proportional to 83,745.94, 115,568.09 and 46,019.38

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Solution

The fourth proportional to 83,745.94, 115,568.09 and 46,019.38 is: 63,506.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,745.94 : 115,568.09 = 46,019.38 : x
  2. Step 2: Convert to fraction form
    83,745.94/115,568.09 = 46,019.38/x
  3. Step 3: Cross multiply
    83,745.94x = 115,568.09 × 46,019.38
  4. Step 4: Simplify right side
    83,745.94x = 5,318,371,849.58
  5. Step 5: Solve for x
    x = 5,318,371,849.58/83,745.94
  6. Step 6: Final answer
    x = 63,506.03

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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.