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Finding the Fourth Proportional to 34,517, 47,633.46 and 19,613

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Solution

The fourth proportional to 34,517, 47,633.46 and 19,613 is: 27,065.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,517 : 47,633.46 = 19,613 : x
  2. Step 2: Convert to fraction form
    34,517/47,633.46 = 19,613/x
  3. Step 3: Cross multiply
    34,517x = 47,633.46 × 19,613
  4. Step 4: Simplify right side
    34,517x = 934,235,050.98
  5. Step 5: Solve for x
    x = 934,235,050.98/34,517
  6. Step 6: Final answer
    x = 27,065.94

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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.