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Finding the Fourth Proportional to 27,573.60, 38,048.40 and 15,634.56

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Solution

The fourth proportional to 27,573.60, 38,048.40 and 15,634.56 is: 21,573.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,573.60 : 38,048.40 = 15,634.56 : x
  2. Step 2: Convert to fraction form
    27,573.60/38,048.40 = 15,634.56/x
  3. Step 3: Cross multiply
    27,573.60x = 38,048.40 × 15,634.56
  4. Step 4: Simplify right side
    27,573.60x = 594,869,992.70
  5. Step 5: Solve for x
    x = 594,869,992.70/27,573.60
  6. Step 6: Final answer
    x = 21,573.90

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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.