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Finding the Fourth Proportional to 45,857.14, 68,805.48 and 24,812

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Solution

The fourth proportional to 45,857.14, 68,805.48 and 24,812 is: 37,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,857.14 : 68,805.48 = 24,812 : x
  2. Step 2: Convert to fraction form
    45,857.14/68,805.48 = 24,812/x
  3. Step 3: Cross multiply
    45,857.14x = 68,805.48 × 24,812
  4. Step 4: Simplify right side
    45,857.14x = 1,707,201,569.76
  5. Step 5: Solve for x
    x = 1,707,201,569.76/45,857.14
  6. Step 6: Final answer
    x = 37,228.70

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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.