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Finding the Fourth Proportional to 54,066.85, 74,612.43 and 30,194.41

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Solution

The fourth proportional to 54,066.85, 74,612.43 and 30,194.41 is: 41,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,066.85 : 74,612.43 = 30,194.41 : x
  2. Step 2: Convert to fraction form
    54,066.85/74,612.43 = 30,194.41/x
  3. Step 3: Cross multiply
    54,066.85x = 74,612.43 × 30,194.41
  4. Step 4: Simplify right side
    54,066.85x = 2,252,878,302.52
  5. Step 5: Solve for x
    x = 2,252,878,302.52/54,066.85
  6. Step 6: Final answer
    x = 41,668.38

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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.