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Finding the Fourth Proportional to 27,494.42, 41,241.64 and 15,800.18

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Solution

The fourth proportional to 27,494.42, 41,241.64 and 15,800.18 is: 23,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,494.42 : 41,241.64 = 15,800.18 : x
  2. Step 2: Convert to fraction form
    27,494.42/41,241.64 = 15,800.18/x
  3. Step 3: Cross multiply
    27,494.42x = 41,241.64 × 15,800.18
  4. Step 4: Simplify right side
    27,494.42x = 651,625,335.50
  5. Step 5: Solve for x
    x = 651,625,335.50/27,494.42
  6. Step 6: Final answer
    x = 23,700.28

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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.