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Finding the Fourth Proportional to 75,082.83, 103,651.74 and 43,245.60

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Solution

The fourth proportional to 75,082.83, 103,651.74 and 43,245.60 is: 59,700.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,082.83 : 103,651.74 = 43,245.60 : x
  2. Step 2: Convert to fraction form
    75,082.83/103,651.74 = 43,245.60/x
  3. Step 3: Cross multiply
    75,082.83x = 103,651.74 × 43,245.60
  4. Step 4: Simplify right side
    75,082.83x = 4,482,481,687.34
  5. Step 5: Solve for x
    x = 4,482,481,687.34/75,082.83
  6. Step 6: Final answer
    x = 59,700.49

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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.