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Finding the Fourth Proportional to 73,287.36, 109,921.80 and 31,184.28

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Solution

The fourth proportional to 73,287.36, 109,921.80 and 31,184.28 is: 46,772.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,287.36 : 109,921.80 = 31,184.28 : x
  2. Step 2: Convert to fraction form
    73,287.36/109,921.80 = 31,184.28/x
  3. Step 3: Cross multiply
    73,287.36x = 109,921.80 × 31,184.28
  4. Step 4: Simplify right side
    73,287.36x = 3,427,832,189.30
  5. Step 5: Solve for x
    x = 3,427,832,189.30/73,287.36
  6. Step 6: Final answer
    x = 46,772.49

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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.