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Finding the Fourth Proportional to 75,629.44, 113,444.16 and 20,224

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Solution

The fourth proportional to 75,629.44, 113,444.16 and 20,224 is: 30,336

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,629.44 : 113,444.16 = 20,224 : x
  2. Step 2: Convert to fraction form
    75,629.44/113,444.16 = 20,224/x
  3. Step 3: Cross multiply
    75,629.44x = 113,444.16 × 20,224
  4. Step 4: Simplify right side
    75,629.44x = 2,294,294,691.84
  5. Step 5: Solve for x
    x = 2,294,294,691.84/75,629.44
  6. Step 6: Final answer
    x = 30,336

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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.