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Finding the Fourth Proportional to 30,993.04, 46,475 and 11,257.68

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Solution

The fourth proportional to 30,993.04, 46,475 and 11,257.68 is: 16,881.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,993.04 : 46,475 = 11,257.68 : x
  2. Step 2: Convert to fraction form
    30,993.04/46,475 = 11,257.68/x
  3. Step 3: Cross multiply
    30,993.04x = 46,475 × 11,257.68
  4. Step 4: Simplify right side
    30,993.04x = 523,200,678
  5. Step 5: Solve for x
    x = 523,200,678/30,993.04
  6. Step 6: Final answer
    x = 16,881.23

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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.