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Finding the Fourth Proportional to 38,096.68, 52,567.17 and 23,939.50

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Solution

The fourth proportional to 38,096.68, 52,567.17 and 23,939.50 is: 33,032.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,096.68 : 52,567.17 = 23,939.50 : x
  2. Step 2: Convert to fraction form
    38,096.68/52,567.17 = 23,939.50/x
  3. Step 3: Cross multiply
    38,096.68x = 52,567.17 × 23,939.50
  4. Step 4: Simplify right side
    38,096.68x = 1,258,431,766.22
  5. Step 5: Solve for x
    x = 1,258,431,766.22/38,096.68
  6. Step 6: Final answer
    x = 33,032.58

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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.