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Finding the Fourth Proportional to 32,155.88, 48,245.16 and 9,974.84

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Solution

The fourth proportional to 32,155.88, 48,245.16 and 9,974.84 is: 14,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,155.88 : 48,245.16 = 9,974.84 : x
  2. Step 2: Convert to fraction form
    32,155.88/48,245.16 = 9,974.84/x
  3. Step 3: Cross multiply
    32,155.88x = 48,245.16 × 9,974.84
  4. Step 4: Simplify right side
    32,155.88x = 481,237,751.77
  5. Step 5: Solve for x
    x = 481,237,751.77/32,155.88
  6. Step 6: Final answer
    x = 14,965.78

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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.