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Finding the Fourth Proportional to 84,796.47, 117,013.28 and 47,067.75

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Solution

The fourth proportional to 84,796.47, 117,013.28 and 47,067.75 is: 64,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,796.47 : 117,013.28 = 47,067.75 : x
  2. Step 2: Convert to fraction form
    84,796.47/117,013.28 = 47,067.75/x
  3. Step 3: Cross multiply
    84,796.47x = 117,013.28 × 47,067.75
  4. Step 4: Simplify right side
    84,796.47x = 5,507,551,574.38
  5. Step 5: Solve for x
    x = 5,507,551,574.38/84,796.47
  6. Step 6: Final answer
    x = 64,950.25

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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.