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Finding the Fourth Proportional to 27,992, 38,630.04 and 15,416.48

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Solution

The fourth proportional to 27,992, 38,630.04 and 15,416.48 is: 21,275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,992 : 38,630.04 = 15,416.48 : x
  2. Step 2: Convert to fraction form
    27,992/38,630.04 = 15,416.48/x
  3. Step 3: Cross multiply
    27,992x = 38,630.04 × 15,416.48
  4. Step 4: Simplify right side
    27,992x = 595,539,239.06
  5. Step 5: Solve for x
    x = 595,539,239.06/27,992
  6. Step 6: Final answer
    x = 21,275.34

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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.