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Finding the Fourth Proportional to 38,510.70, 57,766.05 and 21,864.30

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Solution

The fourth proportional to 38,510.70, 57,766.05 and 21,864.30 is: 32,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,510.70 : 57,766.05 = 21,864.30 : x
  2. Step 2: Convert to fraction form
    38,510.70/57,766.05 = 21,864.30/x
  3. Step 3: Cross multiply
    38,510.70x = 57,766.05 × 21,864.30
  4. Step 4: Simplify right side
    38,510.70x = 1,263,014,247.02
  5. Step 5: Solve for x
    x = 1,263,014,247.02/38,510.70
  6. Step 6: Final answer
    x = 32,796.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.