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Finding the Fourth Proportional to 45,443.75, 68,171.84 and 15,857.24

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Solution

The fourth proportional to 45,443.75, 68,171.84 and 15,857.24 is: 23,788.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,443.75 : 68,171.84 = 15,857.24 : x
  2. Step 2: Convert to fraction form
    45,443.75/68,171.84 = 15,857.24/x
  3. Step 3: Cross multiply
    45,443.75x = 68,171.84 × 15,857.24
  4. Step 4: Simplify right side
    45,443.75x = 1,081,017,228.12
  5. Step 5: Solve for x
    x = 1,081,017,228.12/45,443.75
  6. Step 6: Final answer
    x = 23,788.03

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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.