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Finding the Fourth Proportional to 38,105.93, 52,568.71 and 24,681.50

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Solution

The fourth proportional to 38,105.93, 52,568.71 and 24,681.50 is: 34,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,105.93 : 52,568.71 = 24,681.50 : x
  2. Step 2: Convert to fraction form
    38,105.93/52,568.71 = 24,681.50/x
  3. Step 3: Cross multiply
    38,105.93x = 52,568.71 × 24,681.50
  4. Step 4: Simplify right side
    38,105.93x = 1,297,474,615.87
  5. Step 5: Solve for x
    x = 1,297,474,615.87/38,105.93
  6. Step 6: Final answer
    x = 34,049.15

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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.