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Finding the Fourth Proportional to 54,117.68, 74,634.03 and 33,976.44

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Solution

The fourth proportional to 54,117.68, 74,634.03 and 33,976.44 is: 46,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,117.68 : 74,634.03 = 33,976.44 : x
  2. Step 2: Convert to fraction form
    54,117.68/74,634.03 = 33,976.44/x
  3. Step 3: Cross multiply
    54,117.68x = 74,634.03 × 33,976.44
  4. Step 4: Simplify right side
    54,117.68x = 2,535,798,642.25
  5. Step 5: Solve for x
    x = 2,535,798,642.25/54,117.68
  6. Step 6: Final answer
    x = 46,857.12

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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.