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Finding the Fourth Proportional to 34,642, 51,971.82 and 9,682.06

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Solution

The fourth proportional to 34,642, 51,971.82 and 9,682.06 is: 14,525.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,642 : 51,971.82 = 9,682.06 : x
  2. Step 2: Convert to fraction form
    34,642/51,971.82 = 9,682.06/x
  3. Step 3: Cross multiply
    34,642x = 51,971.82 × 9,682.06
  4. Step 4: Simplify right side
    34,642x = 503,194,279.55
  5. Step 5: Solve for x
    x = 503,194,279.55/34,642
  6. Step 6: Final answer
    x = 14,525.56

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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.