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Finding the Fourth Proportional to 27,006.30, 40,497.30 and 10,360.80

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Solution

The fourth proportional to 27,006.30, 40,497.30 and 10,360.80 is: 15,536.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,006.30 : 40,497.30 = 10,360.80 : x
  2. Step 2: Convert to fraction form
    27,006.30/40,497.30 = 10,360.80/x
  3. Step 3: Cross multiply
    27,006.30x = 40,497.30 × 10,360.80
  4. Step 4: Simplify right side
    27,006.30x = 419,584,425.84
  5. Step 5: Solve for x
    x = 419,584,425.84/27,006.30
  6. Step 6: Final answer
    x = 15,536.54

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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.