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Finding the Fourth Proportional to 47,842.38, 71,768.46 and 18,285.09

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Solution

The fourth proportional to 47,842.38, 71,768.46 and 18,285.09 is: 27,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,842.38 : 71,768.46 = 18,285.09 : x
  2. Step 2: Convert to fraction form
    47,842.38/71,768.46 = 18,285.09/x
  3. Step 3: Cross multiply
    47,842.38x = 71,768.46 × 18,285.09
  4. Step 4: Simplify right side
    47,842.38x = 1,312,292,750.26
  5. Step 5: Solve for x
    x = 1,312,292,750.26/47,842.38
  6. Step 6: Final answer
    x = 27,429.50

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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.