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Finding the Fourth Proportional to 68,452.40, 102,677.16 and 31,516.40

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Solution

The fourth proportional to 68,452.40, 102,677.16 and 31,516.40 is: 47,273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,452.40 : 102,677.16 = 31,516.40 : x
  2. Step 2: Convert to fraction form
    68,452.40/102,677.16 = 31,516.40/x
  3. Step 3: Cross multiply
    68,452.40x = 102,677.16 × 31,516.40
  4. Step 4: Simplify right side
    68,452.40x = 3,236,014,445.42
  5. Step 5: Solve for x
    x = 3,236,014,445.42/68,452.40
  6. Step 6: Final answer
    x = 47,273.94

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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.