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Finding the Fourth Proportional to 38,853.34, 53,617.44 and 22,086.34

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Solution

The fourth proportional to 38,853.34, 53,617.44 and 22,086.34 is: 30,479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,853.34 : 53,617.44 = 22,086.34 : x
  2. Step 2: Convert to fraction form
    38,853.34/53,617.44 = 22,086.34/x
  3. Step 3: Cross multiply
    38,853.34x = 53,617.44 × 22,086.34
  4. Step 4: Simplify right side
    38,853.34x = 1,184,213,009.77
  5. Step 5: Solve for x
    x = 1,184,213,009.77/38,853.34
  6. Step 6: Final answer
    x = 30,479.05

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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.