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Finding the Fourth Proportional to 74,049.36, 110,973.39 and 31,319.27

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Solution

The fourth proportional to 74,049.36, 110,973.39 and 31,319.27 is: 46,936.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,049.36 : 110,973.39 = 31,319.27 : x
  2. Step 2: Convert to fraction form
    74,049.36/110,973.39 = 31,319.27/x
  3. Step 3: Cross multiply
    74,049.36x = 110,973.39 × 31,319.27
  4. Step 4: Simplify right side
    74,049.36x = 3,475,605,009.36
  5. Step 5: Solve for x
    x = 3,475,605,009.36/74,049.36
  6. Step 6: Final answer
    x = 46,936.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.