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Finding the Fourth Proportional to 30,222, 45,249.92 and 22,804.02

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Solution

The fourth proportional to 30,222, 45,249.92 and 22,804.02 is: 34,143.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,222 : 45,249.92 = 22,804.02 : x
  2. Step 2: Convert to fraction form
    30,222/45,249.92 = 22,804.02/x
  3. Step 3: Cross multiply
    30,222x = 45,249.92 × 22,804.02
  4. Step 4: Simplify right side
    30,222x = 1,031,880,080.68
  5. Step 5: Solve for x
    x = 1,031,880,080.68/30,222
  6. Step 6: Final answer
    x = 34,143.34

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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.