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Finding the Fourth Proportional to 32,145.86, 48,223.35 and 9,960.98

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Solution

The fourth proportional to 32,145.86, 48,223.35 and 9,960.98 is: 14,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.86 : 48,223.35 = 9,960.98 : x
  2. Step 2: Convert to fraction form
    32,145.86/48,223.35 = 9,960.98/x
  3. Step 3: Cross multiply
    32,145.86x = 48,223.35 × 9,960.98
  4. Step 4: Simplify right side
    32,145.86x = 480,351,824.88
  5. Step 5: Solve for x
    x = 480,351,824.88/32,145.86
  6. Step 6: Final answer
    x = 14,942.88

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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.