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Finding the Fourth Proportional to 82,791.75, 114,252.63 and 45,066

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Solution

The fourth proportional to 82,791.75, 114,252.63 and 45,066 is: 62,191.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,791.75 : 114,252.63 = 45,066 : x
  2. Step 2: Convert to fraction form
    82,791.75/114,252.63 = 45,066/x
  3. Step 3: Cross multiply
    82,791.75x = 114,252.63 × 45,066
  4. Step 4: Simplify right side
    82,791.75x = 5,148,909,023.58
  5. Step 5: Solve for x
    x = 5,148,909,023.58/82,791.75
  6. Step 6: Final answer
    x = 62,191.09

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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.