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Finding the Fourth Proportional to 75,616.45, 113,416.03 and 20,216.77

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Solution

The fourth proportional to 75,616.45, 113,416.03 and 20,216.77 is: 30,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,616.45 : 113,416.03 = 20,216.77 : x
  2. Step 2: Convert to fraction form
    75,616.45/113,416.03 = 20,216.77/x
  3. Step 3: Cross multiply
    75,616.45x = 113,416.03 × 20,216.77
  4. Step 4: Simplify right side
    75,616.45x = 2,292,905,175.20
  5. Step 5: Solve for x
    x = 2,292,905,175.20/75,616.45
  6. Step 6: Final answer
    x = 30,322.84

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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.