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Finding the Fourth Proportional to 82,696.96, 114,079.74 and 54,033.41

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Solution

The fourth proportional to 82,696.96, 114,079.74 and 54,033.41 is: 74,538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,696.96 : 114,079.74 = 54,033.41 : x
  2. Step 2: Convert to fraction form
    82,696.96/114,079.74 = 54,033.41/x
  3. Step 3: Cross multiply
    82,696.96x = 114,079.74 × 54,033.41
  4. Step 4: Simplify right side
    82,696.96x = 6,164,117,414.99
  5. Step 5: Solve for x
    x = 6,164,117,414.99/82,696.96
  6. Step 6: Final answer
    x = 74,538.62

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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.