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Finding the Fourth Proportional to 32,415.62, 48,632.08 and 11,639.30

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Solution

The fourth proportional to 32,415.62, 48,632.08 and 11,639.30 is: 17,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,415.62 : 48,632.08 = 11,639.30 : x
  2. Step 2: Convert to fraction form
    32,415.62/48,632.08 = 11,639.30/x
  3. Step 3: Cross multiply
    32,415.62x = 48,632.08 × 11,639.30
  4. Step 4: Simplify right side
    32,415.62x = 566,043,368.74
  5. Step 5: Solve for x
    x = 566,043,368.74/32,415.62
  6. Step 6: Final answer
    x = 17,462.06

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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.