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Finding the Fourth Proportional to 38,728.80, 53,456.22 and 22,818.24

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Solution

The fourth proportional to 38,728.80, 53,456.22 and 22,818.24 is: 31,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,728.80 : 53,456.22 = 22,818.24 : x
  2. Step 2: Convert to fraction form
    38,728.80/53,456.22 = 22,818.24/x
  3. Step 3: Cross multiply
    38,728.80x = 53,456.22 × 22,818.24
  4. Step 4: Simplify right side
    38,728.80x = 1,219,776,857.45
  5. Step 5: Solve for x
    x = 1,219,776,857.45/38,728.80
  6. Step 6: Final answer
    x = 31,495.34

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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.