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Finding the Fourth Proportional to 33,085.38, 45,658.02 and 17,978.16

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Solution

The fourth proportional to 33,085.38, 45,658.02 and 17,978.16 is: 24,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,085.38 : 45,658.02 = 17,978.16 : x
  2. Step 2: Convert to fraction form
    33,085.38/45,658.02 = 17,978.16/x
  3. Step 3: Cross multiply
    33,085.38x = 45,658.02 × 17,978.16
  4. Step 4: Simplify right side
    33,085.38x = 820,847,188.84
  5. Step 5: Solve for x
    x = 820,847,188.84/33,085.38
  6. Step 6: Final answer
    x = 24,809.97

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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.