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Finding the Fourth Proportional to 32,050.64, 48,052.92 and 14,511.44

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Solution

The fourth proportional to 32,050.64, 48,052.92 and 14,511.44 is: 21,756.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,050.64 : 48,052.92 = 14,511.44 : x
  2. Step 2: Convert to fraction form
    32,050.64/48,052.92 = 14,511.44/x
  3. Step 3: Cross multiply
    32,050.64x = 48,052.92 × 14,511.44
  4. Step 4: Simplify right side
    32,050.64x = 697,317,065.40
  5. Step 5: Solve for x
    x = 697,317,065.40/32,050.64
  6. Step 6: Final answer
    x = 21,756.73

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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.