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Finding the Fourth Proportional to 30,930.96, 46,355.08 and 16,108.76

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Solution

The fourth proportional to 30,930.96, 46,355.08 and 16,108.76 is: 24,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.96 : 46,355.08 = 16,108.76 : x
  2. Step 2: Convert to fraction form
    30,930.96/46,355.08 = 16,108.76/x
  3. Step 3: Cross multiply
    30,930.96x = 46,355.08 × 16,108.76
  4. Step 4: Simplify right side
    30,930.96x = 746,722,858.50
  5. Step 5: Solve for x
    x = 746,722,858.50/30,930.96
  6. Step 6: Final answer
    x = 24,141.60

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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.