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Finding the Fourth Proportional to 77,165.36, 115,752 and 21,765.68

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Solution

The fourth proportional to 77,165.36, 115,752 and 21,765.68 is: 32,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,165.36 : 115,752 = 21,765.68 : x
  2. Step 2: Convert to fraction form
    77,165.36/115,752 = 21,765.68/x
  3. Step 3: Cross multiply
    77,165.36x = 115,752 × 21,765.68
  4. Step 4: Simplify right side
    77,165.36x = 2,519,420,991.36
  5. Step 5: Solve for x
    x = 2,519,420,991.36/77,165.36
  6. Step 6: Final answer
    x = 32,649.64

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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.