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Finding the Fourth Proportional to 32,377.57, 48,564.73 and 9,004.21

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Solution

The fourth proportional to 32,377.57, 48,564.73 and 9,004.21 is: 13,505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,377.57 : 48,564.73 = 9,004.21 : x
  2. Step 2: Convert to fraction form
    32,377.57/48,564.73 = 9,004.21/x
  3. Step 3: Cross multiply
    32,377.57x = 48,564.73 × 9,004.21
  4. Step 4: Simplify right side
    32,377.57x = 437,286,917.36
  5. Step 5: Solve for x
    x = 437,286,917.36/32,377.57
  6. Step 6: Final answer
    x = 13,505.86

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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.