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Finding the Fourth Proportional to 54,098.28, 74,642.04 and 33,696.41

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Solution

The fourth proportional to 54,098.28, 74,642.04 and 33,696.41 is: 46,492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,098.28 : 74,642.04 = 33,696.41 : x
  2. Step 2: Convert to fraction form
    54,098.28/74,642.04 = 33,696.41/x
  3. Step 3: Cross multiply
    54,098.28x = 74,642.04 × 33,696.41
  4. Step 4: Simplify right side
    54,098.28x = 2,515,168,409.87
  5. Step 5: Solve for x
    x = 2,515,168,409.87/54,098.28
  6. Step 6: Final answer
    x = 46,492.58

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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.