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Finding the Fourth Proportional to 30,949.45, 46,424.17 and 8,763.02

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Solution

The fourth proportional to 30,949.45, 46,424.17 and 8,763.02 is: 13,144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,949.45 : 46,424.17 = 8,763.02 : x
  2. Step 2: Convert to fraction form
    30,949.45/46,424.17 = 8,763.02/x
  3. Step 3: Cross multiply
    30,949.45x = 46,424.17 × 8,763.02
  4. Step 4: Simplify right side
    30,949.45x = 406,815,883.12
  5. Step 5: Solve for x
    x = 406,815,883.12/30,949.45
  6. Step 6: Final answer
    x = 13,144.53

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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.