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Finding the Fourth Proportional to 54,337.97, 74,985.72 and 30,464.15

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Solution

The fourth proportional to 54,337.97, 74,985.72 and 30,464.15 is: 42,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,337.97 : 74,985.72 = 30,464.15 : x
  2. Step 2: Convert to fraction form
    54,337.97/74,985.72 = 30,464.15/x
  3. Step 3: Cross multiply
    54,337.97x = 74,985.72 × 30,464.15
  4. Step 4: Simplify right side
    54,337.97x = 2,284,375,847.01
  5. Step 5: Solve for x
    x = 2,284,375,847.01/54,337.97
  6. Step 6: Final answer
    x = 42,040.14

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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.