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Finding the Fourth Proportional to 30,172.23, 45,249.21 and 9,110.50

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Solution

The fourth proportional to 30,172.23, 45,249.21 and 9,110.50 is: 13,662.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,172.23 : 45,249.21 = 9,110.50 : x
  2. Step 2: Convert to fraction form
    30,172.23/45,249.21 = 9,110.50/x
  3. Step 3: Cross multiply
    30,172.23x = 45,249.21 × 9,110.50
  4. Step 4: Simplify right side
    30,172.23x = 412,242,814.58
  5. Step 5: Solve for x
    x = 412,242,814.58/30,172.23
  6. Step 6: Final answer
    x = 13,662.99

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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.