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Finding the Fourth Proportional to 34,624.74, 47,774.43 and 21,194.94

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Solution

The fourth proportional to 34,624.74, 47,774.43 and 21,194.94 is: 29,244.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,624.74 : 47,774.43 = 21,194.94 : x
  2. Step 2: Convert to fraction form
    34,624.74/47,774.43 = 21,194.94/x
  3. Step 3: Cross multiply
    34,624.74x = 47,774.43 × 21,194.94
  4. Step 4: Simplify right side
    34,624.74x = 1,012,576,177.38
  5. Step 5: Solve for x
    x = 1,012,576,177.38/34,624.74
  6. Step 6: Final answer
    x = 29,244.30

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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.