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Finding the Fourth Proportional to 50,419.16, 75,635.76 and 22,337

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Solution

The fourth proportional to 50,419.16, 75,635.76 and 22,337 is: 33,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,419.16 : 75,635.76 = 22,337 : x
  2. Step 2: Convert to fraction form
    50,419.16/75,635.76 = 22,337/x
  3. Step 3: Cross multiply
    50,419.16x = 75,635.76 × 22,337
  4. Step 4: Simplify right side
    50,419.16x = 1,689,475,971.12
  5. Step 5: Solve for x
    x = 1,689,475,971.12/50,419.16
  6. Step 6: Final answer
    x = 33,508.61

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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.