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Finding the Fourth Proportional to 34,601.76, 47,747.56 and 19,489.60

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Solution

The fourth proportional to 34,601.76, 47,747.56 and 19,489.60 is: 26,894.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,601.76 : 47,747.56 = 19,489.60 : x
  2. Step 2: Convert to fraction form
    34,601.76/47,747.56 = 19,489.60/x
  3. Step 3: Cross multiply
    34,601.76x = 47,747.56 × 19,489.60
  4. Step 4: Simplify right side
    34,601.76x = 930,580,845.38
  5. Step 5: Solve for x
    x = 930,580,845.38/34,601.76
  6. Step 6: Final answer
    x = 26,894.03

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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.