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Finding the Fourth Proportional to 34,144.74, 51,217.11 and 10,773

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Solution

The fourth proportional to 34,144.74, 51,217.11 and 10,773 is: 16,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,144.74 : 51,217.11 = 10,773 : x
  2. Step 2: Convert to fraction form
    34,144.74/51,217.11 = 10,773/x
  3. Step 3: Cross multiply
    34,144.74x = 51,217.11 × 10,773
  4. Step 4: Simplify right side
    34,144.74x = 551,761,926.03
  5. Step 5: Solve for x
    x = 551,761,926.03/34,144.74
  6. Step 6: Final answer
    x = 16,159.50

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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.