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Finding the Fourth Proportional to 27,129, 37,455.48 and 18,628.38

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Solution

The fourth proportional to 27,129, 37,455.48 and 18,628.38 is: 25,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,129 : 37,455.48 = 18,628.38 : x
  2. Step 2: Convert to fraction form
    27,129/37,455.48 = 18,628.38/x
  3. Step 3: Cross multiply
    27,129x = 37,455.48 × 18,628.38
  4. Step 4: Simplify right side
    27,129x = 697,734,914.52
  5. Step 5: Solve for x
    x = 697,734,914.52/27,129
  6. Step 6: Final answer
    x = 25,719.15

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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.