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Finding the Fourth Proportional to 62,107.14, 85,708.05 and 33,813

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Solution

The fourth proportional to 62,107.14, 85,708.05 and 33,813 is: 46,662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,107.14 : 85,708.05 = 33,813 : x
  2. Step 2: Convert to fraction form
    62,107.14/85,708.05 = 33,813/x
  3. Step 3: Cross multiply
    62,107.14x = 85,708.05 × 33,813
  4. Step 4: Simplify right side
    62,107.14x = 2,898,046,294.65
  5. Step 5: Solve for x
    x = 2,898,046,294.65/62,107.14
  6. Step 6: Final answer
    x = 46,662.05

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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.