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Finding the Fourth Proportional to 43,541, 65,311.82 and 10,709

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Solution

The fourth proportional to 43,541, 65,311.82 and 10,709 is: 16,063.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,541 : 65,311.82 = 10,709 : x
  2. Step 2: Convert to fraction form
    43,541/65,311.82 = 10,709/x
  3. Step 3: Cross multiply
    43,541x = 65,311.82 × 10,709
  4. Step 4: Simplify right side
    43,541x = 699,424,280.38
  5. Step 5: Solve for x
    x = 699,424,280.38/43,541
  6. Step 6: Final answer
    x = 16,063.58

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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.