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Finding the Fourth Proportional to 52,568, 78,828.24 and 15,119.48

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Solution

The fourth proportional to 52,568, 78,828.24 and 15,119.48 is: 22,672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,568 : 78,828.24 = 15,119.48 : x
  2. Step 2: Convert to fraction form
    52,568/78,828.24 = 15,119.48/x
  3. Step 3: Cross multiply
    52,568x = 78,828.24 × 15,119.48
  4. Step 4: Simplify right side
    52,568x = 1,191,841,998.12
  5. Step 5: Solve for x
    x = 1,191,841,998.12/52,568
  6. Step 6: Final answer
    x = 22,672.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.