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Finding the Fourth Proportional to 27,477.27, 37,918.38 and 15,542.94

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Solution

The fourth proportional to 27,477.27, 37,918.38 and 15,542.94 is: 21,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477.27 : 37,918.38 = 15,542.94 : x
  2. Step 2: Convert to fraction form
    27,477.27/37,918.38 = 15,542.94/x
  3. Step 3: Cross multiply
    27,477.27x = 37,918.38 × 15,542.94
  4. Step 4: Simplify right side
    27,477.27x = 589,363,105.24
  5. Step 5: Solve for x
    x = 589,363,105.24/27,477.27
  6. Step 6: Final answer
    x = 21,449.11

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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.