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Finding the Fourth Proportional to 46,977.70, 70,467.90 and 11,917.30

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Solution

The fourth proportional to 46,977.70, 70,467.90 and 11,917.30 is: 17,876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,977.70 : 70,467.90 = 11,917.30 : x
  2. Step 2: Convert to fraction form
    46,977.70/70,467.90 = 11,917.30/x
  3. Step 3: Cross multiply
    46,977.70x = 70,467.90 × 11,917.30
  4. Step 4: Simplify right side
    46,977.70x = 839,787,104.67
  5. Step 5: Solve for x
    x = 839,787,104.67/46,977.70
  6. Step 6: Final answer
    x = 17,876.29

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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.