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Finding the Fourth Proportional to 38,423.96, 57,632.69 and 21,731.48

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Solution

The fourth proportional to 38,423.96, 57,632.69 and 21,731.48 is: 32,595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,423.96 : 57,632.69 = 21,731.48 : x
  2. Step 2: Convert to fraction form
    38,423.96/57,632.69 = 21,731.48/x
  3. Step 3: Cross multiply
    38,423.96x = 57,632.69 × 21,731.48
  4. Step 4: Simplify right side
    38,423.96x = 1,252,443,650.08
  5. Step 5: Solve for x
    x = 1,252,443,650.08/38,423.96
  6. Step 6: Final answer
    x = 32,595.38

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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.