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Finding the Fourth Proportional to 77,452.65, 106,729.38 and 57,310.38

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Solution

The fourth proportional to 77,452.65, 106,729.38 and 57,310.38 is: 78,973.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,452.65 : 106,729.38 = 57,310.38 : x
  2. Step 2: Convert to fraction form
    77,452.65/106,729.38 = 57,310.38/x
  3. Step 3: Cross multiply
    77,452.65x = 106,729.38 × 57,310.38
  4. Step 4: Simplify right side
    77,452.65x = 6,116,701,324.96
  5. Step 5: Solve for x
    x = 6,116,701,324.96/77,452.65
  6. Step 6: Final answer
    x = 78,973.43

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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.