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Finding the Fourth Proportional to 32,096.58, 48,144.90 and 8,726.46

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Solution

The fourth proportional to 32,096.58, 48,144.90 and 8,726.46 is: 13,089.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,096.58 : 48,144.90 = 8,726.46 : x
  2. Step 2: Convert to fraction form
    32,096.58/48,144.90 = 8,726.46/x
  3. Step 3: Cross multiply
    32,096.58x = 48,144.90 × 8,726.46
  4. Step 4: Simplify right side
    32,096.58x = 420,134,544.05
  5. Step 5: Solve for x
    x = 420,134,544.05/32,096.58
  6. Step 6: Final answer
    x = 13,089.70

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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.