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Finding the Fourth Proportional to 73,132.82, 109,677.49 and 31,012.28

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Solution

The fourth proportional to 73,132.82, 109,677.49 and 31,012.28 is: 46,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,132.82 : 109,677.49 = 31,012.28 : x
  2. Step 2: Convert to fraction form
    73,132.82/109,677.49 = 31,012.28/x
  3. Step 3: Cross multiply
    73,132.82x = 109,677.49 × 31,012.28
  4. Step 4: Simplify right side
    73,132.82x = 3,401,348,403.66
  5. Step 5: Solve for x
    x = 3,401,348,403.66/73,132.82
  6. Step 6: Final answer
    x = 46,509.20

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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.