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Finding the Fourth Proportional to 35,218.80, 52,815.40 and 17,682.80

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Solution

The fourth proportional to 35,218.80, 52,815.40 and 17,682.80 is: 26,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,218.80 : 52,815.40 = 17,682.80 : x
  2. Step 2: Convert to fraction form
    35,218.80/52,815.40 = 17,682.80/x
  3. Step 3: Cross multiply
    35,218.80x = 52,815.40 × 17,682.80
  4. Step 4: Simplify right side
    35,218.80x = 933,924,155.12
  5. Step 5: Solve for x
    x = 933,924,155.12/35,218.80
  6. Step 6: Final answer
    x = 26,517.77

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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.