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Finding the Fourth Proportional to 30,930.96, 46,453.68 and 16,150.08

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Solution

The fourth proportional to 30,930.96, 46,453.68 and 16,150.08 is: 24,255.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.96 : 46,453.68 = 16,150.08 : x
  2. Step 2: Convert to fraction form
    30,930.96/46,453.68 = 16,150.08/x
  3. Step 3: Cross multiply
    30,930.96x = 46,453.68 × 16,150.08
  4. Step 4: Simplify right side
    30,930.96x = 750,230,648.29
  5. Step 5: Solve for x
    x = 750,230,648.29/30,930.96
  6. Step 6: Final answer
    x = 24,255.01

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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.