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Finding the Fourth Proportional to 46,843.04, 70,247.64 and 15,671

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Solution

The fourth proportional to 46,843.04, 70,247.64 and 15,671 is: 23,500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,843.04 : 70,247.64 = 15,671 : x
  2. Step 2: Convert to fraction form
    46,843.04/70,247.64 = 15,671/x
  3. Step 3: Cross multiply
    46,843.04x = 70,247.64 × 15,671
  4. Step 4: Simplify right side
    46,843.04x = 1,100,850,766.44
  5. Step 5: Solve for x
    x = 1,100,850,766.44/46,843.04
  6. Step 6: Final answer
    x = 23,500.84

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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.