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Finding the Fourth Proportional to 35,789.44, 53,702 and 16,082.08

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Solution

The fourth proportional to 35,789.44, 53,702 and 16,082.08 is: 24,131.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,789.44 : 53,702 = 16,082.08 : x
  2. Step 2: Convert to fraction form
    35,789.44/53,702 = 16,082.08/x
  3. Step 3: Cross multiply
    35,789.44x = 53,702 × 16,082.08
  4. Step 4: Simplify right side
    35,789.44x = 863,639,860.16
  5. Step 5: Solve for x
    x = 863,639,860.16/35,789.44
  6. Step 6: Final answer
    x = 24,131.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.