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Finding the Fourth Proportional to 32,006.53, 48,009.84 and 8,632.99

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Solution

The fourth proportional to 32,006.53, 48,009.84 and 8,632.99 is: 12,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006.53 : 48,009.84 = 8,632.99 : x
  2. Step 2: Convert to fraction form
    32,006.53/48,009.84 = 8,632.99/x
  3. Step 3: Cross multiply
    32,006.53x = 48,009.84 × 8,632.99
  4. Step 4: Simplify right side
    32,006.53x = 414,468,468.62
  5. Step 5: Solve for x
    x = 414,468,468.62/32,006.53
  6. Step 6: Final answer
    x = 12,949.50

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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.