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Finding the Fourth Proportional to 27,375.63, 37,778.29 and 14,800.38

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Solution

The fourth proportional to 27,375.63, 37,778.29 and 14,800.38 is: 20,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,375.63 : 37,778.29 = 14,800.38 : x
  2. Step 2: Convert to fraction form
    27,375.63/37,778.29 = 14,800.38/x
  3. Step 3: Cross multiply
    27,375.63x = 37,778.29 × 14,800.38
  4. Step 4: Simplify right side
    27,375.63x = 559,133,047.75
  5. Step 5: Solve for x
    x = 559,133,047.75/27,375.63
  6. Step 6: Final answer
    x = 20,424.48

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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.