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Finding the Fourth Proportional to 52,297.42, 78,414.48 and 21,096.22

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Solution

The fourth proportional to 52,297.42, 78,414.48 and 21,096.22 is: 31,631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,297.42 : 78,414.48 = 21,096.22 : x
  2. Step 2: Convert to fraction form
    52,297.42/78,414.48 = 21,096.22/x
  3. Step 3: Cross multiply
    52,297.42x = 78,414.48 × 21,096.22
  4. Step 4: Simplify right side
    52,297.42x = 1,654,249,121.27
  5. Step 5: Solve for x
    x = 1,654,249,121.27/52,297.42
  6. Step 6: Final answer
    x = 31,631.56

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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.