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Finding the Fourth Proportional to 52,201.44, 78,297.94 and 14,760

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Solution

The fourth proportional to 52,201.44, 78,297.94 and 14,760 is: 22,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,201.44 : 78,297.94 = 14,760 : x
  2. Step 2: Convert to fraction form
    52,201.44/78,297.94 = 14,760/x
  3. Step 3: Cross multiply
    52,201.44x = 78,297.94 × 14,760
  4. Step 4: Simplify right side
    52,201.44x = 1,155,677,594.40
  5. Step 5: Solve for x
    x = 1,155,677,594.40/52,201.44
  6. Step 6: Final answer
    x = 22,138.81

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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.