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Finding the Fourth Proportional to 34,515.38, 47,617.74 and 19,404.56

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Solution

The fourth proportional to 34,515.38, 47,617.74 and 19,404.56 is: 26,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,515.38 : 47,617.74 = 19,404.56 : x
  2. Step 2: Convert to fraction form
    34,515.38/47,617.74 = 19,404.56/x
  3. Step 3: Cross multiply
    34,515.38x = 47,617.74 × 19,404.56
  4. Step 4: Simplify right side
    34,515.38x = 924,001,411.94
  5. Step 5: Solve for x
    x = 924,001,411.94/34,515.38
  6. Step 6: Final answer
    x = 26,770.71

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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.