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Finding the Fourth Proportional to 30,902.90, 46,345.23 and 16,104.20

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Solution

The fourth proportional to 30,902.90, 46,345.23 and 16,104.20 is: 24,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.90 : 46,345.23 = 16,104.20 : x
  2. Step 2: Convert to fraction form
    30,902.90/46,345.23 = 16,104.20/x
  3. Step 3: Cross multiply
    30,902.90x = 46,345.23 × 16,104.20
  4. Step 4: Simplify right side
    30,902.90x = 746,352,621.24
  5. Step 5: Solve for x
    x = 746,352,621.24/30,902.90
  6. Step 6: Final answer
    x = 24,151.54

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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.