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Finding the Fourth Proportional to 33,094.60, 49,650.02 and 16,462.48

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Solution

The fourth proportional to 33,094.60, 49,650.02 and 16,462.48 is: 24,697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,094.60 : 49,650.02 = 16,462.48 : x
  2. Step 2: Convert to fraction form
    33,094.60/49,650.02 = 16,462.48/x
  3. Step 3: Cross multiply
    33,094.60x = 49,650.02 × 16,462.48
  4. Step 4: Simplify right side
    33,094.60x = 817,362,461.25
  5. Step 5: Solve for x
    x = 817,362,461.25/33,094.60
  6. Step 6: Final answer
    x = 24,697.76

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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.