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Finding the Fourth Proportional to 27,686.68, 41,463.06 and 19,375

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Solution

The fourth proportional to 27,686.68, 41,463.06 and 19,375 is: 29,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,686.68 : 41,463.06 = 19,375 : x
  2. Step 2: Convert to fraction form
    27,686.68/41,463.06 = 19,375/x
  3. Step 3: Cross multiply
    27,686.68x = 41,463.06 × 19,375
  4. Step 4: Simplify right side
    27,686.68x = 803,346,787.50
  5. Step 5: Solve for x
    x = 803,346,787.50/27,686.68
  6. Step 6: Final answer
    x = 29,015.64

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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.