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Finding the Fourth Proportional to 83,038.85, 124,481.63 and 33,106.88

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Solution

The fourth proportional to 83,038.85, 124,481.63 and 33,106.88 is: 49,629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,038.85 : 124,481.63 = 33,106.88 : x
  2. Step 2: Convert to fraction form
    83,038.85/124,481.63 = 33,106.88/x
  3. Step 3: Cross multiply
    83,038.85x = 124,481.63 × 33,106.88
  4. Step 4: Simplify right side
    83,038.85x = 4,121,197,846.97
  5. Step 5: Solve for x
    x = 4,121,197,846.97/83,038.85
  6. Step 6: Final answer
    x = 49,629.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.