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Finding the Fourth Proportional to 82,596.90, 123,890.32 and 29,291.52

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Solution

The fourth proportional to 82,596.90, 123,890.32 and 29,291.52 is: 43,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,596.90 : 123,890.32 = 29,291.52 : x
  2. Step 2: Convert to fraction form
    82,596.90/123,890.32 = 29,291.52/x
  3. Step 3: Cross multiply
    82,596.90x = 123,890.32 × 29,291.52
  4. Step 4: Simplify right side
    82,596.90x = 3,628,935,786.09
  5. Step 5: Solve for x
    x = 3,628,935,786.09/82,596.90
  6. Step 6: Final answer
    x = 43,935.50

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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.