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Finding the Fourth Proportional to 30,962.92, 46,435.26 and 8,778.23

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Solution

The fourth proportional to 30,962.92, 46,435.26 and 8,778.23 is: 13,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,962.92 : 46,435.26 = 8,778.23 : x
  2. Step 2: Convert to fraction form
    30,962.92/46,435.26 = 8,778.23/x
  3. Step 3: Cross multiply
    30,962.92x = 46,435.26 × 8,778.23
  4. Step 4: Simplify right side
    30,962.92x = 407,619,348.50
  5. Step 5: Solve for x
    x = 407,619,348.50/30,962.92
  6. Step 6: Final answer
    x = 13,164.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.