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Finding the Fourth Proportional to 52,014.50, 78,033.46 and 16,477.96

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Solution

The fourth proportional to 52,014.50, 78,033.46 and 16,477.96 is: 24,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,014.50 : 78,033.46 = 16,477.96 : x
  2. Step 2: Convert to fraction form
    52,014.50/78,033.46 = 16,477.96/x
  3. Step 3: Cross multiply
    52,014.50x = 78,033.46 × 16,477.96
  4. Step 4: Simplify right side
    52,014.50x = 1,285,832,232.54
  5. Step 5: Solve for x
    x = 1,285,832,232.54/52,014.50
  6. Step 6: Final answer
    x = 24,720.65

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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.