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Finding the Fourth Proportional to 84,859.13, 117,109.24 and 47,133.38

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Solution

The fourth proportional to 84,859.13, 117,109.24 and 47,133.38 is: 65,046.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,859.13 : 117,109.24 = 47,133.38 : x
  2. Step 2: Convert to fraction form
    84,859.13/117,109.24 = 47,133.38/x
  3. Step 3: Cross multiply
    84,859.13x = 117,109.24 × 47,133.38
  4. Step 4: Simplify right side
    84,859.13x = 5,519,753,724.89
  5. Step 5: Solve for x
    x = 5,519,753,724.89/84,859.13
  6. Step 6: Final answer
    x = 65,046.08

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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.