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Finding the Fourth Proportional to 32,661.50, 48,992.50 and 8,037.50

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Solution

The fourth proportional to 32,661.50, 48,992.50 and 8,037.50 is: 12,056.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,661.50 : 48,992.50 = 8,037.50 : x
  2. Step 2: Convert to fraction form
    32,661.50/48,992.50 = 8,037.50/x
  3. Step 3: Cross multiply
    32,661.50x = 48,992.50 × 8,037.50
  4. Step 4: Simplify right side
    32,661.50x = 393,777,218.75
  5. Step 5: Solve for x
    x = 393,777,218.75/32,661.50
  6. Step 6: Final answer
    x = 12,056.31

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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.