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Finding the Fourth Proportional to 38,206.50, 52,729.83 and 21,439.50

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Solution

The fourth proportional to 38,206.50, 52,729.83 and 21,439.50 is: 29,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,206.50 : 52,729.83 = 21,439.50 : x
  2. Step 2: Convert to fraction form
    38,206.50/52,729.83 = 21,439.50/x
  3. Step 3: Cross multiply
    38,206.50x = 52,729.83 × 21,439.50
  4. Step 4: Simplify right side
    38,206.50x = 1,130,501,190.29
  5. Step 5: Solve for x
    x = 1,130,501,190.29/38,206.50
  6. Step 6: Final answer
    x = 29,589.24

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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.