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Finding the Fourth Proportional to 38,084.76, 57,325.74 and 34,462.44

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Solution

The fourth proportional to 38,084.76, 57,325.74 and 34,462.44 is: 51,873.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,084.76 : 57,325.74 = 34,462.44 : x
  2. Step 2: Convert to fraction form
    38,084.76/57,325.74 = 34,462.44/x
  3. Step 3: Cross multiply
    38,084.76x = 57,325.74 × 34,462.44
  4. Step 4: Simplify right side
    38,084.76x = 1,975,584,875.21
  5. Step 5: Solve for x
    x = 1,975,584,875.21/38,084.76
  6. Step 6: Final answer
    x = 51,873.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.