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Finding the Fourth Proportional to 75,436, 113,154 and 19,276.24

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Solution

The fourth proportional to 75,436, 113,154 and 19,276.24 is: 28,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,436 : 113,154 = 19,276.24 : x
  2. Step 2: Convert to fraction form
    75,436/113,154 = 19,276.24/x
  3. Step 3: Cross multiply
    75,436x = 113,154 × 19,276.24
  4. Step 4: Simplify right side
    75,436x = 2,181,183,660.96
  5. Step 5: Solve for x
    x = 2,181,183,660.96/75,436
  6. Step 6: Final answer
    x = 28,914.36

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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.