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Finding the Fourth Proportional to 34,615.38, 47,769.16 and 18,699.78

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Solution

The fourth proportional to 34,615.38, 47,769.16 and 18,699.78 is: 25,805.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,615.38 : 47,769.16 = 18,699.78 : x
  2. Step 2: Convert to fraction form
    34,615.38/47,769.16 = 18,699.78/x
  3. Step 3: Cross multiply
    34,615.38x = 47,769.16 × 18,699.78
  4. Step 4: Simplify right side
    34,615.38x = 893,272,450.44
  5. Step 5: Solve for x
    x = 893,272,450.44/34,615.38
  6. Step 6: Final answer
    x = 25,805.66

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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.