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Finding the Fourth Proportional to 54,851.52, 75,696.48 and 33,642.48

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Solution

The fourth proportional to 54,851.52, 75,696.48 and 33,642.48 is: 46,427.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,851.52 : 75,696.48 = 33,642.48 : x
  2. Step 2: Convert to fraction form
    54,851.52/75,696.48 = 33,642.48/x
  3. Step 3: Cross multiply
    54,851.52x = 75,696.48 × 33,642.48
  4. Step 4: Simplify right side
    54,851.52x = 2,546,617,314.47
  5. Step 5: Solve for x
    x = 2,546,617,314.47/54,851.52
  6. Step 6: Final answer
    x = 46,427.47

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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.