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Finding the Fourth Proportional to 57,082.50, 85,599.63 and 17,107.16

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Solution

The fourth proportional to 57,082.50, 85,599.63 and 17,107.16 is: 25,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,082.50 : 85,599.63 = 17,107.16 : x
  2. Step 2: Convert to fraction form
    57,082.50/85,599.63 = 17,107.16/x
  3. Step 3: Cross multiply
    57,082.50x = 85,599.63 × 17,107.16
  4. Step 4: Simplify right side
    57,082.50x = 1,464,366,138.35
  5. Step 5: Solve for x
    x = 1,464,366,138.35/57,082.50
  6. Step 6: Final answer
    x = 25,653.50

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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.