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Finding the Fourth Proportional to 38,205.75, 52,728.80 and 21,438.75

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Solution

The fourth proportional to 38,205.75, 52,728.80 and 21,438.75 is: 29,588.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,205.75 : 52,728.80 = 21,438.75 : x
  2. Step 2: Convert to fraction form
    38,205.75/52,728.80 = 21,438.75/x
  3. Step 3: Cross multiply
    38,205.75x = 52,728.80 × 21,438.75
  4. Step 4: Simplify right side
    38,205.75x = 1,130,439,453.81
  5. Step 5: Solve for x
    x = 1,130,439,453.81/38,205.75
  6. Step 6: Final answer
    x = 29,588.20

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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.