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Finding the Fourth Proportional to 38,456.56, 53,074.91 and 22,320.42

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Solution

The fourth proportional to 38,456.56, 53,074.91 and 22,320.42 is: 30,805.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,456.56 : 53,074.91 = 22,320.42 : x
  2. Step 2: Convert to fraction form
    38,456.56/53,074.91 = 22,320.42/x
  3. Step 3: Cross multiply
    38,456.56x = 53,074.91 × 22,320.42
  4. Step 4: Simplify right side
    38,456.56x = 1,184,654,282.66
  5. Step 5: Solve for x
    x = 1,184,654,282.66/38,456.56
  6. Step 6: Final answer
    x = 30,805.00

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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.