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Finding the Fourth Proportional to 38,189.41, 52,703.81 and 21,423.49

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Solution

The fourth proportional to 38,189.41, 52,703.81 and 21,423.49 is: 29,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,189.41 : 52,703.81 = 21,423.49 : x
  2. Step 2: Convert to fraction form
    38,189.41/52,703.81 = 21,423.49/x
  3. Step 3: Cross multiply
    38,189.41x = 52,703.81 × 21,423.49
  4. Step 4: Simplify right side
    38,189.41x = 1,129,099,546.50
  5. Step 5: Solve for x
    x = 1,129,099,546.50/38,189.41
  6. Step 6: Final answer
    x = 29,565.78

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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.