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Finding the Fourth Proportional to 54,546.98, 75,274.36 and 30,673.15

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Solution

The fourth proportional to 54,546.98, 75,274.36 and 30,673.15 is: 42,328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,546.98 : 75,274.36 = 30,673.15 : x
  2. Step 2: Convert to fraction form
    54,546.98/75,274.36 = 30,673.15/x
  3. Step 3: Cross multiply
    54,546.98x = 75,274.36 × 30,673.15
  4. Step 4: Simplify right side
    54,546.98x = 2,308,901,359.06
  5. Step 5: Solve for x
    x = 2,308,901,359.06/54,546.98
  6. Step 6: Final answer
    x = 42,328.67

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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.