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Finding the Fourth Proportional to 27,622.88, 38,119.38 and 15,047.63

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Solution

The fourth proportional to 27,622.88, 38,119.38 and 15,047.63 is: 20,765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,622.88 : 38,119.38 = 15,047.63 : x
  2. Step 2: Convert to fraction form
    27,622.88/38,119.38 = 15,047.63/x
  3. Step 3: Cross multiply
    27,622.88x = 38,119.38 × 15,047.63
  4. Step 4: Simplify right side
    27,622.88x = 573,606,326.07
  5. Step 5: Solve for x
    x = 573,606,326.07/27,622.88
  6. Step 6: Final answer
    x = 20,765.62

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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.