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Finding the Fourth Proportional to 33,978.12, 46,873.44 and 22,045.20

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Solution

The fourth proportional to 33,978.12, 46,873.44 and 22,045.20 is: 30,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,978.12 : 46,873.44 = 22,045.20 : x
  2. Step 2: Convert to fraction form
    33,978.12/46,873.44 = 22,045.20/x
  3. Step 3: Cross multiply
    33,978.12x = 46,873.44 × 22,045.20
  4. Step 4: Simplify right side
    33,978.12x = 1,033,334,359.49
  5. Step 5: Solve for x
    x = 1,033,334,359.49/33,978.12
  6. Step 6: Final answer
    x = 30,411.76

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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.