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Finding the Fourth Proportional to 38,102, 52,568.61 and 24,683.54

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Solution

The fourth proportional to 38,102, 52,568.61 and 24,683.54 is: 34,055.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102 : 52,568.61 = 24,683.54 : x
  2. Step 2: Convert to fraction form
    38,102/52,568.61 = 24,683.54/x
  3. Step 3: Cross multiply
    38,102x = 52,568.61 × 24,683.54
  4. Step 4: Simplify right side
    38,102x = 1,297,579,387.68
  5. Step 5: Solve for x
    x = 1,297,579,387.68/38,102
  6. Step 6: Final answer
    x = 34,055.41

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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.