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Finding the Fourth Proportional to 82,406.94, 123,537.10 and 29,804.73

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Solution

The fourth proportional to 82,406.94, 123,537.10 and 29,804.73 is: 44,680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,406.94 : 123,537.10 = 29,804.73 : x
  2. Step 2: Convert to fraction form
    82,406.94/123,537.10 = 29,804.73/x
  3. Step 3: Cross multiply
    82,406.94x = 123,537.10 × 29,804.73
  4. Step 4: Simplify right side
    82,406.94x = 3,681,989,910.48
  5. Step 5: Solve for x
    x = 3,681,989,910.48/82,406.94
  6. Step 6: Final answer
    x = 44,680.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.