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Finding the Fourth Proportional to 53,533.50, 80,311.14 and 18,468.60

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Solution

The fourth proportional to 53,533.50, 80,311.14 and 18,468.60 is: 27,706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,533.50 : 80,311.14 = 18,468.60 : x
  2. Step 2: Convert to fraction form
    53,533.50/80,311.14 = 18,468.60/x
  3. Step 3: Cross multiply
    53,533.50x = 80,311.14 × 18,468.60
  4. Step 4: Simplify right side
    53,533.50x = 1,483,234,320.20
  5. Step 5: Solve for x
    x = 1,483,234,320.20/53,533.50
  6. Step 6: Final answer
    x = 27,706.66

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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.