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Finding the Fourth Proportional to 54,300.38, 74,938.16 and 36,425.30

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Solution

The fourth proportional to 54,300.38, 74,938.16 and 36,425.30 is: 50,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,300.38 : 74,938.16 = 36,425.30 : x
  2. Step 2: Convert to fraction form
    54,300.38/74,938.16 = 36,425.30/x
  3. Step 3: Cross multiply
    54,300.38x = 74,938.16 × 36,425.30
  4. Step 4: Simplify right side
    54,300.38x = 2,729,644,675.82
  5. Step 5: Solve for x
    x = 2,729,644,675.82/54,300.38
  6. Step 6: Final answer
    x = 50,269.35

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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.