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Finding the Fourth Proportional to 104,732.96, 144,533.94 and 59,414

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Solution

The fourth proportional to 104,732.96, 144,533.94 and 59,414 is: 81,992.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,732.96 : 144,533.94 = 59,414 : x
  2. Step 2: Convert to fraction form
    104,732.96/144,533.94 = 59,414/x
  3. Step 3: Cross multiply
    104,732.96x = 144,533.94 × 59,414
  4. Step 4: Simplify right side
    104,732.96x = 8,587,339,511.16
  5. Step 5: Solve for x
    x = 8,587,339,511.16/104,732.96
  6. Step 6: Final answer
    x = 81,992.71

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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.