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Finding the Fourth Proportional to 32,951.96, 49,434.15 and 13,232.06

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Solution

The fourth proportional to 32,951.96, 49,434.15 and 13,232.06 is: 19,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,951.96 : 49,434.15 = 13,232.06 : x
  2. Step 2: Convert to fraction form
    32,951.96/49,434.15 = 13,232.06/x
  3. Step 3: Cross multiply
    32,951.96x = 49,434.15 × 13,232.06
  4. Step 4: Simplify right side
    32,951.96x = 654,115,638.85
  5. Step 5: Solve for x
    x = 654,115,638.85/32,951.96
  6. Step 6: Final answer
    x = 19,850.58

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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.