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Finding the Fourth Proportional to 32,669.50, 49,004.49 and 8,045.50

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Solution

The fourth proportional to 32,669.50, 49,004.49 and 8,045.50 is: 12,068.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,669.50 : 49,004.49 = 8,045.50 : x
  2. Step 2: Convert to fraction form
    32,669.50/49,004.49 = 8,045.50/x
  3. Step 3: Cross multiply
    32,669.50x = 49,004.49 × 8,045.50
  4. Step 4: Simplify right side
    32,669.50x = 394,265,624.30
  5. Step 5: Solve for x
    x = 394,265,624.30/32,669.50
  6. Step 6: Final answer
    x = 12,068.31

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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.