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Finding the Fourth Proportional to 32,465.20, 44,785.56 and 29,905.60

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Solution

The fourth proportional to 32,465.20, 44,785.56 and 29,905.60 is: 41,254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,465.20 : 44,785.56 = 29,905.60 : x
  2. Step 2: Convert to fraction form
    32,465.20/44,785.56 = 29,905.60/x
  3. Step 3: Cross multiply
    32,465.20x = 44,785.56 × 29,905.60
  4. Step 4: Simplify right side
    32,465.20x = 1,339,339,043.14
  5. Step 5: Solve for x
    x = 1,339,339,043.14/32,465.20
  6. Step 6: Final answer
    x = 41,254.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.