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Finding the Fourth Proportional to 57,918.50, 79,926.99 and 32,768

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Solution

The fourth proportional to 57,918.50, 79,926.99 and 32,768 is: 45,219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,918.50 : 79,926.99 = 32,768 : x
  2. Step 2: Convert to fraction form
    57,918.50/79,926.99 = 32,768/x
  3. Step 3: Cross multiply
    57,918.50x = 79,926.99 × 32,768
  4. Step 4: Simplify right side
    57,918.50x = 2,619,047,608.32
  5. Step 5: Solve for x
    x = 2,619,047,608.32/57,918.50
  6. Step 6: Final answer
    x = 45,219.53

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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.