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Finding the Fourth Proportional to 49,314.02, 73,978.92 and 16,031.52

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Solution

The fourth proportional to 49,314.02, 73,978.92 and 16,031.52 is: 24,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,314.02 : 73,978.92 = 16,031.52 : x
  2. Step 2: Convert to fraction form
    49,314.02/73,978.92 = 16,031.52/x
  3. Step 3: Cross multiply
    49,314.02x = 73,978.92 × 16,031.52
  4. Step 4: Simplify right side
    49,314.02x = 1,185,994,535.56
  5. Step 5: Solve for x
    x = 1,185,994,535.56/49,314.02
  6. Step 6: Final answer
    x = 24,049.85

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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.