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Finding the Fourth Proportional to 32,074.38, 48,111.57 and 11,299.50

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Solution

The fourth proportional to 32,074.38, 48,111.57 and 11,299.50 is: 16,949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,074.38 : 48,111.57 = 11,299.50 : x
  2. Step 2: Convert to fraction form
    32,074.38/48,111.57 = 11,299.50/x
  3. Step 3: Cross multiply
    32,074.38x = 48,111.57 × 11,299.50
  4. Step 4: Simplify right side
    32,074.38x = 543,636,685.22
  5. Step 5: Solve for x
    x = 543,636,685.22/32,074.38
  6. Step 6: Final answer
    x = 16,949.25

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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.