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Finding the Fourth Proportional to 32,509.75, 48,778.70 and 11,464.82

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Solution

The fourth proportional to 32,509.75, 48,778.70 and 11,464.82 is: 17,202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509.75 : 48,778.70 = 11,464.82 : x
  2. Step 2: Convert to fraction form
    32,509.75/48,778.70 = 11,464.82/x
  3. Step 3: Cross multiply
    32,509.75x = 48,778.70 × 11,464.82
  4. Step 4: Simplify right side
    32,509.75x = 559,239,165.94
  5. Step 5: Solve for x
    x = 559,239,165.94/32,509.75
  6. Step 6: Final answer
    x = 17,202.20

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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.