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Finding the Fourth Proportional to 59,658.65, 82,318.22 and 33,817.28

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Solution

The fourth proportional to 59,658.65, 82,318.22 and 33,817.28 is: 46,661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,658.65 : 82,318.22 = 33,817.28 : x
  2. Step 2: Convert to fraction form
    59,658.65/82,318.22 = 33,817.28/x
  3. Step 3: Cross multiply
    59,658.65x = 82,318.22 × 33,817.28
  4. Step 4: Simplify right side
    59,658.65x = 2,783,778,294.84
  5. Step 5: Solve for x
    x = 2,783,778,294.84/59,658.65
  6. Step 6: Final answer
    x = 46,661.78

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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.