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Finding the Fourth Proportional to 35,141.25, 52,719.17 and 14,364.75

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Solution

The fourth proportional to 35,141.25, 52,719.17 and 14,364.75 is: 21,550.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,141.25 : 52,719.17 = 14,364.75 : x
  2. Step 2: Convert to fraction form
    35,141.25/52,719.17 = 14,364.75/x
  3. Step 3: Cross multiply
    35,141.25x = 52,719.17 × 14,364.75
  4. Step 4: Simplify right side
    35,141.25x = 757,297,625.43
  5. Step 5: Solve for x
    x = 757,297,625.43/35,141.25
  6. Step 6: Final answer
    x = 21,550.10

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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.