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Finding the Fourth Proportional to 32,509.72, 48,778.67 and 11,464.81

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Solution

The fourth proportional to 32,509.72, 48,778.67 and 11,464.81 is: 17,202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509.72 : 48,778.67 = 11,464.81 : x
  2. Step 2: Convert to fraction form
    32,509.72/48,778.67 = 11,464.81/x
  3. Step 3: Cross multiply
    32,509.72x = 48,778.67 × 11,464.81
  4. Step 4: Simplify right side
    32,509.72x = 559,238,090.32
  5. Step 5: Solve for x
    x = 559,238,090.32/32,509.72
  6. Step 6: Final answer
    x = 17,202.18

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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.