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Finding the Fourth Proportional to 84,791.80, 117,004.26 and 47,062

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Solution

The fourth proportional to 84,791.80, 117,004.26 and 47,062 is: 64,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,791.80 : 117,004.26 = 47,062 : x
  2. Step 2: Convert to fraction form
    84,791.80/117,004.26 = 47,062/x
  3. Step 3: Cross multiply
    84,791.80x = 117,004.26 × 47,062
  4. Step 4: Simplify right side
    84,791.80x = 5,506,454,484.12
  5. Step 5: Solve for x
    x = 5,506,454,484.12/84,791.80
  6. Step 6: Final answer
    x = 64,940.88

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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.