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Finding the Fourth Proportional to 46,954, 70,433.57 and 11,893.96

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Solution

The fourth proportional to 46,954, 70,433.57 and 11,893.96 is: 17,841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,954 : 70,433.57 = 11,893.96 : x
  2. Step 2: Convert to fraction form
    46,954/70,433.57 = 11,893.96/x
  3. Step 3: Cross multiply
    46,954x = 70,433.57 × 11,893.96
  4. Step 4: Simplify right side
    46,954x = 837,734,064.24
  5. Step 5: Solve for x
    x = 837,734,064.24/46,954
  6. Step 6: Final answer
    x = 17,841.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.