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Finding the Fourth Proportional to 46,711.25, 70,069.30 and 11,651.21

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Solution

The fourth proportional to 46,711.25, 70,069.30 and 11,651.21 is: 17,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,711.25 : 70,069.30 = 11,651.21 : x
  2. Step 2: Convert to fraction form
    46,711.25/70,069.30 = 11,651.21/x
  3. Step 3: Cross multiply
    46,711.25x = 70,069.30 × 11,651.21
  4. Step 4: Simplify right side
    46,711.25x = 816,392,128.85
  5. Step 5: Solve for x
    x = 816,392,128.85/46,711.25
  6. Step 6: Final answer
    x = 17,477.42

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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.