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Finding the Fourth Proportional to 34,205, 51,310.38 and 9,581

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Solution

The fourth proportional to 34,205, 51,310.38 and 9,581 is: 14,372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,205 : 51,310.38 = 9,581 : x
  2. Step 2: Convert to fraction form
    34,205/51,310.38 = 9,581/x
  3. Step 3: Cross multiply
    34,205x = 51,310.38 × 9,581
  4. Step 4: Simplify right side
    34,205x = 491,604,750.78
  5. Step 5: Solve for x
    x = 491,604,750.78/34,205
  6. Step 6: Final answer
    x = 14,372.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.