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Finding the Fourth Proportional to 51,914.85, 71,642.49 and 28,041.53

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Solution

The fourth proportional to 51,914.85, 71,642.49 and 28,041.53 is: 38,697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,914.85 : 71,642.49 = 28,041.53 : x
  2. Step 2: Convert to fraction form
    51,914.85/71,642.49 = 28,041.53/x
  3. Step 3: Cross multiply
    51,914.85x = 71,642.49 × 28,041.53
  4. Step 4: Simplify right side
    51,914.85x = 2,008,964,861.69
  5. Step 5: Solve for x
    x = 2,008,964,861.69/51,914.85
  6. Step 6: Final answer
    x = 38,697.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.