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Finding the Fourth Proportional to 46,765, 70,147.09 and 11,704.83

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Solution

The fourth proportional to 46,765, 70,147.09 and 11,704.83 is: 17,557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,765 : 70,147.09 = 11,704.83 : x
  2. Step 2: Convert to fraction form
    46,765/70,147.09 = 11,704.83/x
  3. Step 3: Cross multiply
    46,765x = 70,147.09 × 11,704.83
  4. Step 4: Simplify right side
    46,765x = 821,059,763.44
  5. Step 5: Solve for x
    x = 821,059,763.44/46,765
  6. Step 6: Final answer
    x = 17,557.14

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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.