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Finding the Fourth Proportional to 33,384.30, 46,086.75 and 22,829.10

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Solution

The fourth proportional to 33,384.30, 46,086.75 and 22,829.10 is: 31,515.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,384.30 : 46,086.75 = 22,829.10 : x
  2. Step 2: Convert to fraction form
    33,384.30/46,086.75 = 22,829.10/x
  3. Step 3: Cross multiply
    33,384.30x = 46,086.75 × 22,829.10
  4. Step 4: Simplify right side
    33,384.30x = 1,052,119,024.43
  5. Step 5: Solve for x
    x = 1,052,119,024.43/33,384.30
  6. Step 6: Final answer
    x = 31,515.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.