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Finding the Fourth Proportional to 83,022, 114,570.36 and 53,214

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Solution

The fourth proportional to 83,022, 114,570.36 and 53,214 is: 73,435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,022 : 114,570.36 = 53,214 : x
  2. Step 2: Convert to fraction form
    83,022/114,570.36 = 53,214/x
  3. Step 3: Cross multiply
    83,022x = 114,570.36 × 53,214
  4. Step 4: Simplify right side
    83,022x = 6,096,747,137.04
  5. Step 5: Solve for x
    x = 6,096,747,137.04/83,022
  6. Step 6: Final answer
    x = 73,435.32

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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.