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Finding the Fourth Proportional to 32,151.62, 48,209.82 and 9,958.84

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Solution

The fourth proportional to 32,151.62, 48,209.82 and 9,958.84 is: 14,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,151.62 : 48,209.82 = 9,958.84 : x
  2. Step 2: Convert to fraction form
    32,151.62/48,209.82 = 9,958.84/x
  3. Step 3: Cross multiply
    32,151.62x = 48,209.82 × 9,958.84
  4. Step 4: Simplify right side
    32,151.62x = 480,113,725.94
  5. Step 5: Solve for x
    x = 480,113,725.94/32,151.62
  6. Step 6: Final answer
    x = 14,932.80

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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.