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Finding the Fourth Proportional to 27,000, 40,502.12 and 7,278.26

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Solution

The fourth proportional to 27,000, 40,502.12 and 7,278.26 is: 10,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,000 : 40,502.12 = 7,278.26 : x
  2. Step 2: Convert to fraction form
    27,000/40,502.12 = 7,278.26/x
  3. Step 3: Cross multiply
    27,000x = 40,502.12 × 7,278.26
  4. Step 4: Simplify right side
    27,000x = 294,784,721.01
  5. Step 5: Solve for x
    x = 294,784,721.01/27,000
  6. Step 6: Final answer
    x = 10,917.95

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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.