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Finding the Fourth Proportional to 73,382.98, 110,074.46 and 31,820.26

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Solution

The fourth proportional to 73,382.98, 110,074.46 and 31,820.26 is: 47,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,382.98 : 110,074.46 = 31,820.26 : x
  2. Step 2: Convert to fraction form
    73,382.98/110,074.46 = 31,820.26/x
  3. Step 3: Cross multiply
    73,382.98x = 110,074.46 × 31,820.26
  4. Step 4: Simplify right side
    73,382.98x = 3,502,597,936.56
  5. Step 5: Solve for x
    x = 3,502,597,936.56/73,382.98
  6. Step 6: Final answer
    x = 47,730.39

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1.5x scale

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.