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Finding the Fourth Proportional to 57,234.76, 85,836.64 and 23,948

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Solution

The fourth proportional to 57,234.76, 85,836.64 and 23,948 is: 35,915.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,234.76 : 85,836.64 = 23,948 : x
  2. Step 2: Convert to fraction form
    57,234.76/85,836.64 = 23,948/x
  3. Step 3: Cross multiply
    57,234.76x = 85,836.64 × 23,948
  4. Step 4: Simplify right side
    57,234.76x = 2,055,615,854.72
  5. Step 5: Solve for x
    x = 2,055,615,854.72/57,234.76
  6. Step 6: Final answer
    x = 35,915.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.