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Finding the Fourth Proportional to 32,160.80, 48,245.87 and 9,975.96

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Solution

The fourth proportional to 32,160.80, 48,245.87 and 9,975.96 is: 14,965.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,160.80 : 48,245.87 = 9,975.96 : x
  2. Step 2: Convert to fraction form
    32,160.80/48,245.87 = 9,975.96/x
  3. Step 3: Cross multiply
    32,160.80x = 48,245.87 × 9,975.96
  4. Step 4: Simplify right side
    32,160.80x = 481,298,819.41
  5. Step 5: Solve for x
    x = 481,298,819.41/32,160.80
  6. Step 6: Final answer
    x = 14,965.39

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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.