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Finding the Fourth Proportional to 54,684.52, 75,462.48 and 30,815.98

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Solution

The fourth proportional to 54,684.52, 75,462.48 and 30,815.98 is: 42,524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,684.52 : 75,462.48 = 30,815.98 : x
  2. Step 2: Convert to fraction form
    54,684.52/75,462.48 = 30,815.98/x
  3. Step 3: Cross multiply
    54,684.52x = 75,462.48 × 30,815.98
  4. Step 4: Simplify right side
    54,684.52x = 2,325,450,274.43
  5. Step 5: Solve for x
    x = 2,325,450,274.43/54,684.52
  6. Step 6: Final answer
    x = 42,524.84

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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.