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Finding the Fourth Proportional to 82,753.38, 114,199.35 and 46,950.30

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Solution

The fourth proportional to 82,753.38, 114,199.35 and 46,950.30 is: 64,791.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,753.38 : 114,199.35 = 46,950.30 : x
  2. Step 2: Convert to fraction form
    82,753.38/114,199.35 = 46,950.30/x
  3. Step 3: Cross multiply
    82,753.38x = 114,199.35 × 46,950.30
  4. Step 4: Simplify right side
    82,753.38x = 5,361,693,742.31
  5. Step 5: Solve for x
    x = 5,361,693,742.31/82,753.38
  6. Step 6: Final answer
    x = 64,791.24

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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.