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Finding the Fourth Proportional to 82,536, 113,904 and 48,546.24

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Solution

The fourth proportional to 82,536, 113,904 and 48,546.24 is: 66,996.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,536 : 113,904 = 48,546.24 : x
  2. Step 2: Convert to fraction form
    82,536/113,904 = 48,546.24/x
  3. Step 3: Cross multiply
    82,536x = 113,904 × 48,546.24
  4. Step 4: Simplify right side
    82,536x = 5,529,610,920.96
  5. Step 5: Solve for x
    x = 5,529,610,920.96/82,536
  6. Step 6: Final answer
    x = 66,996.35

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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.