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Finding the Fourth Proportional to 82,107.03, 113,304.27 and 46,300.38

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Solution

The fourth proportional to 82,107.03, 113,304.27 and 46,300.38 is: 63,892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,107.03 : 113,304.27 = 46,300.38 : x
  2. Step 2: Convert to fraction form
    82,107.03/113,304.27 = 46,300.38/x
  3. Step 3: Cross multiply
    82,107.03x = 113,304.27 × 46,300.38
  4. Step 4: Simplify right side
    82,107.03x = 5,246,030,756.62
  5. Step 5: Solve for x
    x = 5,246,030,756.62/82,107.03
  6. Step 6: Final answer
    x = 63,892.59

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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.