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Finding the Fourth Proportional to 32,149.38, 48,236.76 and 9,964.50

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Solution

The fourth proportional to 32,149.38, 48,236.76 and 9,964.50 is: 14,950.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,149.38 : 48,236.76 = 9,964.50 : x
  2. Step 2: Convert to fraction form
    32,149.38/48,236.76 = 9,964.50/x
  3. Step 3: Cross multiply
    32,149.38x = 48,236.76 × 9,964.50
  4. Step 4: Simplify right side
    32,149.38x = 480,655,195.02
  5. Step 5: Solve for x
    x = 480,655,195.02/32,149.38
  6. Step 6: Final answer
    x = 14,950.68

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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.