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Finding the Fourth Proportional to 32,380.75, 48,571.13 and 9,007.80

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Solution

The fourth proportional to 32,380.75, 48,571.13 and 9,007.80 is: 13,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,380.75 : 48,571.13 = 9,007.80 : x
  2. Step 2: Convert to fraction form
    32,380.75/48,571.13 = 9,007.80/x
  3. Step 3: Cross multiply
    32,380.75x = 48,571.13 × 9,007.80
  4. Step 4: Simplify right side
    32,380.75x = 437,519,024.81
  5. Step 5: Solve for x
    x = 437,519,024.81/32,380.75
  6. Step 6: Final answer
    x = 13,511.70

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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.