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Finding the Fourth Proportional to 38,205.68, 52,722.98 and 21,208.92

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Solution

The fourth proportional to 38,205.68, 52,722.98 and 21,208.92 is: 29,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,205.68 : 52,722.98 = 21,208.92 : x
  2. Step 2: Convert to fraction form
    38,205.68/52,722.98 = 21,208.92/x
  3. Step 3: Cross multiply
    38,205.68x = 52,722.98 × 21,208.92
  4. Step 4: Simplify right side
    38,205.68x = 1,118,197,464.98
  5. Step 5: Solve for x
    x = 1,118,197,464.98/38,205.68
  6. Step 6: Final answer
    x = 29,267.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.