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Finding the Fourth Proportional to 46,553.34, 69,830.12 and 12,819.80

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Solution

The fourth proportional to 46,553.34, 69,830.12 and 12,819.80 is: 19,229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,553.34 : 69,830.12 = 12,819.80 : x
  2. Step 2: Convert to fraction form
    46,553.34/69,830.12 = 12,819.80/x
  3. Step 3: Cross multiply
    46,553.34x = 69,830.12 × 12,819.80
  4. Step 4: Simplify right side
    46,553.34x = 895,208,172.38
  5. Step 5: Solve for x
    x = 895,208,172.38/46,553.34
  6. Step 6: Final answer
    x = 19,229.73

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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.