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Finding the Fourth Proportional to 34,365, 51,549.46 and 10,674.80

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Solution

The fourth proportional to 34,365, 51,549.46 and 10,674.80 is: 16,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,365 : 51,549.46 = 10,674.80 : x
  2. Step 2: Convert to fraction form
    34,365/51,549.46 = 10,674.80/x
  3. Step 3: Cross multiply
    34,365x = 51,549.46 × 10,674.80
  4. Step 4: Simplify right side
    34,365x = 550,280,175.61
  5. Step 5: Solve for x
    x = 550,280,175.61/34,365
  6. Step 6: Final answer
    x = 16,012.81

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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.