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Finding the Fourth Proportional to 82,103.50, 113,303.82 and 49,828.78

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Solution

The fourth proportional to 82,103.50, 113,303.82 and 49,828.78 is: 68,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,103.50 : 113,303.82 = 49,828.78 : x
  2. Step 2: Convert to fraction form
    82,103.50/113,303.82 = 49,828.78/x
  3. Step 3: Cross multiply
    82,103.50x = 113,303.82 × 49,828.78
  4. Step 4: Simplify right side
    82,103.50x = 5,645,791,119.94
  5. Step 5: Solve for x
    x = 5,645,791,119.94/82,103.50
  6. Step 6: Final answer
    x = 68,764.32

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