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Finding the Fourth Proportional to 35,257, 52,857.48 and 17,475.16

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Solution

The fourth proportional to 35,257, 52,857.48 and 17,475.16 is: 26,198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,257 : 52,857.48 = 17,475.16 : x
  2. Step 2: Convert to fraction form
    35,257/52,857.48 = 17,475.16/x
  3. Step 3: Cross multiply
    35,257x = 52,857.48 × 17,475.16
  4. Step 4: Simplify right side
    35,257x = 923,692,920.20
  5. Step 5: Solve for x
    x = 923,692,920.20/35,257
  6. Step 6: Final answer
    x = 26,198.85

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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.