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Finding the Fourth Proportional to 32,489.64, 48,724.38 and 11,710.44

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Solution

The fourth proportional to 32,489.64, 48,724.38 and 11,710.44 is: 17,562.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,489.64 : 48,724.38 = 11,710.44 : x
  2. Step 2: Convert to fraction form
    32,489.64/48,724.38 = 11,710.44/x
  3. Step 3: Cross multiply
    32,489.64x = 48,724.38 × 11,710.44
  4. Step 4: Simplify right side
    32,489.64x = 570,583,928.53
  5. Step 5: Solve for x
    x = 570,583,928.53/32,489.64
  6. Step 6: Final answer
    x = 17,562.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.