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Finding the Fourth Proportional to 54,342.56, 74,988.38 and 30,465.99

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Solution

The fourth proportional to 54,342.56, 74,988.38 and 30,465.99 is: 42,040.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,342.56 : 74,988.38 = 30,465.99 : x
  2. Step 2: Convert to fraction form
    54,342.56/74,988.38 = 30,465.99/x
  3. Step 3: Cross multiply
    54,342.56x = 74,988.38 × 30,465.99
  4. Step 4: Simplify right side
    54,342.56x = 2,284,595,311.36
  5. Step 5: Solve for x
    x = 2,284,595,311.36/54,342.56
  6. Step 6: Final answer
    x = 42,040.63

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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.