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Finding the Fourth Proportional to 54,281.94, 74,911.18 and 30,408.80

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Solution

The fourth proportional to 54,281.94, 74,911.18 and 30,408.80 is: 41,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,281.94 : 74,911.18 = 30,408.80 : x
  2. Step 2: Convert to fraction form
    54,281.94/74,911.18 = 30,408.80/x
  3. Step 3: Cross multiply
    54,281.94x = 74,911.18 × 30,408.80
  4. Step 4: Simplify right side
    54,281.94x = 2,277,959,090.38
  5. Step 5: Solve for x
    x = 2,277,959,090.38/54,281.94
  6. Step 6: Final answer
    x = 41,965.32

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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.