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Finding the Fourth Proportional to 50,129.92, 75,204.80 and 22,428.16

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Solution

The fourth proportional to 50,129.92, 75,204.80 and 22,428.16 is: 33,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,129.92 : 75,204.80 = 22,428.16 : x
  2. Step 2: Convert to fraction form
    50,129.92/75,204.80 = 22,428.16/x
  3. Step 3: Cross multiply
    50,129.92x = 75,204.80 × 22,428.16
  4. Step 4: Simplify right side
    50,129.92x = 1,686,705,287.17
  5. Step 5: Solve for x
    x = 1,686,705,287.17/50,129.92
  6. Step 6: Final answer
    x = 33,646.68

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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.