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Finding the Fourth Proportional to 32,817.76, 49,240.41 and 14,101.90

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Solution

The fourth proportional to 32,817.76, 49,240.41 and 14,101.90 is: 21,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,817.76 : 49,240.41 = 14,101.90 : x
  2. Step 2: Convert to fraction form
    32,817.76/49,240.41 = 14,101.90/x
  3. Step 3: Cross multiply
    32,817.76x = 49,240.41 × 14,101.90
  4. Step 4: Simplify right side
    32,817.76x = 694,383,337.78
  5. Step 5: Solve for x
    x = 694,383,337.78/32,817.76
  6. Step 6: Final answer
    x = 21,158.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.