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Finding the Fourth Proportional to 38,245.48, 52,782.51 and 22,113.48

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Solution

The fourth proportional to 38,245.48, 52,782.51 and 22,113.48 is: 30,518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,245.48 : 52,782.51 = 22,113.48 : x
  2. Step 2: Convert to fraction form
    38,245.48/52,782.51 = 22,113.48/x
  3. Step 3: Cross multiply
    38,245.48x = 52,782.51 × 22,113.48
  4. Step 4: Simplify right side
    38,245.48x = 1,167,204,979.23
  5. Step 5: Solve for x
    x = 1,167,204,979.23/38,245.48
  6. Step 6: Final answer
    x = 30,518.77

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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.