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Finding the Fourth Proportional to 27,472.50, 41,205.06 and 7,752.64

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Solution

The fourth proportional to 27,472.50, 41,205.06 and 7,752.64 is: 11,627.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,472.50 : 41,205.06 = 7,752.64 : x
  2. Step 2: Convert to fraction form
    27,472.50/41,205.06 = 7,752.64/x
  3. Step 3: Cross multiply
    27,472.50x = 41,205.06 × 7,752.64
  4. Step 4: Simplify right side
    27,472.50x = 319,447,996.36
  5. Step 5: Solve for x
    x = 319,447,996.36/27,472.50
  6. Step 6: Final answer
    x = 11,627.92

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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.