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Finding the Fourth Proportional to 49,258.45, 67,922.90 and 33,315.22

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Solution

The fourth proportional to 49,258.45, 67,922.90 and 33,315.22 is: 45,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,258.45 : 67,922.90 = 33,315.22 : x
  2. Step 2: Convert to fraction form
    49,258.45/67,922.90 = 33,315.22/x
  3. Step 3: Cross multiply
    49,258.45x = 67,922.90 × 33,315.22
  4. Step 4: Simplify right side
    49,258.45x = 2,262,866,356.54
  5. Step 5: Solve for x
    x = 2,262,866,356.54/49,258.45
  6. Step 6: Final answer
    x = 45,938.64

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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.