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Finding the Fourth Proportional to 73,802.82, 110,690.46 and 19,768.13

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Solution

The fourth proportional to 73,802.82, 110,690.46 and 19,768.13 is: 29,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,802.82 : 110,690.46 = 19,768.13 : x
  2. Step 2: Convert to fraction form
    73,802.82/110,690.46 = 19,768.13/x
  3. Step 3: Cross multiply
    73,802.82x = 110,690.46 × 19,768.13
  4. Step 4: Simplify right side
    73,802.82x = 2,188,143,403.04
  5. Step 5: Solve for x
    x = 2,188,143,403.04/73,802.82
  6. Step 6: Final answer
    x = 29,648.51

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Why These Related Problems?

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