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Finding the Fourth Proportional to 36,080.96, 54,076 and 16,353.60

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Solution

The fourth proportional to 36,080.96, 54,076 and 16,353.60 is: 24,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,080.96 : 54,076 = 16,353.60 : x
  2. Step 2: Convert to fraction form
    36,080.96/54,076 = 16,353.60/x
  3. Step 3: Cross multiply
    36,080.96x = 54,076 × 16,353.60
  4. Step 4: Simplify right side
    36,080.96x = 884,337,273.60
  5. Step 5: Solve for x
    x = 884,337,273.60/36,080.96
  6. Step 6: Final answer
    x = 24,509.80

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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.