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Finding the Fourth Proportional to 27,009, 37,272.33 and 15,071.67

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Solution

The fourth proportional to 27,009, 37,272.33 and 15,071.67 is: 20,798.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,009 : 37,272.33 = 15,071.67 : x
  2. Step 2: Convert to fraction form
    27,009/37,272.33 = 15,071.67/x
  3. Step 3: Cross multiply
    27,009x = 37,272.33 × 15,071.67
  4. Step 4: Simplify right side
    27,009x = 561,756,257.89
  5. Step 5: Solve for x
    x = 561,756,257.89/27,009
  6. Step 6: Final answer
    x = 20,798.85

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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.