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Finding the Fourth Proportional to 27,629.52, 38,128.50 and 15,054

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Solution

The fourth proportional to 27,629.52, 38,128.50 and 15,054 is: 20,774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,629.52 : 38,128.50 = 15,054 : x
  2. Step 2: Convert to fraction form
    27,629.52/38,128.50 = 15,054/x
  3. Step 3: Cross multiply
    27,629.52x = 38,128.50 × 15,054
  4. Step 4: Simplify right side
    27,629.52x = 573,986,439
  5. Step 5: Solve for x
    x = 573,986,439/27,629.52
  6. Step 6: Final answer
    x = 20,774.39

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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.