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Finding the Fourth Proportional to 52,104, 78,168.96 and 15,168

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Solution

The fourth proportional to 52,104, 78,168.96 and 15,168 is: 22,755.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,104 : 78,168.96 = 15,168 : x
  2. Step 2: Convert to fraction form
    52,104/78,168.96 = 15,168/x
  3. Step 3: Cross multiply
    52,104x = 78,168.96 × 15,168
  4. Step 4: Simplify right side
    52,104x = 1,185,666,785.28
  5. Step 5: Solve for x
    x = 1,185,666,785.28/52,104
  6. Step 6: Final answer
    x = 22,755.77

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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.