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Finding the Fourth Proportional to 96,072.72, 132,593.68 and 53,634

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Solution

The fourth proportional to 96,072.72, 132,593.68 and 53,634 is: 74,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,072.72 : 132,593.68 = 53,634 : x
  2. Step 2: Convert to fraction form
    96,072.72/132,593.68 = 53,634/x
  3. Step 3: Cross multiply
    96,072.72x = 132,593.68 × 53,634
  4. Step 4: Simplify right side
    96,072.72x = 7,111,529,433.12
  5. Step 5: Solve for x
    x = 7,111,529,433.12/96,072.72
  6. Step 6: Final answer
    x = 74,022.36

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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.