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Finding the Fourth Proportional to 53,098.70, 73,244.49 and 33,982.70

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Solution

The fourth proportional to 53,098.70, 73,244.49 and 33,982.70 is: 46,875.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,098.70 : 73,244.49 = 33,982.70 : x
  2. Step 2: Convert to fraction form
    53,098.70/73,244.49 = 33,982.70/x
  3. Step 3: Cross multiply
    53,098.70x = 73,244.49 × 33,982.70
  4. Step 4: Simplify right side
    53,098.70x = 2,489,045,530.32
  5. Step 5: Solve for x
    x = 2,489,045,530.32/53,098.70
  6. Step 6: Final answer
    x = 46,875.83

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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.