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Finding the Fourth Proportional to 32,660.50, 48,990.99 and 8,036.50

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Solution

The fourth proportional to 32,660.50, 48,990.99 and 8,036.50 is: 12,054.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,660.50 : 48,990.99 = 8,036.50 : x
  2. Step 2: Convert to fraction form
    32,660.50/48,990.99 = 8,036.50/x
  3. Step 3: Cross multiply
    32,660.50x = 48,990.99 × 8,036.50
  4. Step 4: Simplify right side
    32,660.50x = 393,716,091.14
  5. Step 5: Solve for x
    x = 393,716,091.14/32,660.50
  6. Step 6: Final answer
    x = 12,054.81

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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.