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Finding the Fourth Proportional to 27,241.38, 37,594.71 and 20,515.14

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Solution

The fourth proportional to 27,241.38, 37,594.71 and 20,515.14 is: 28,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,241.38 : 37,594.71 = 20,515.14 : x
  2. Step 2: Convert to fraction form
    27,241.38/37,594.71 = 20,515.14/x
  3. Step 3: Cross multiply
    27,241.38x = 37,594.71 × 20,515.14
  4. Step 4: Simplify right side
    27,241.38x = 771,260,738.91
  5. Step 5: Solve for x
    x = 771,260,738.91/27,241.38
  6. Step 6: Final answer
    x = 28,312.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.