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Finding the Fourth Proportional to 32,447.88, 48,661.74 and 13,727.60

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Solution

The fourth proportional to 32,447.88, 48,661.74 and 13,727.60 is: 20,587.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,447.88 : 48,661.74 = 13,727.60 : x
  2. Step 2: Convert to fraction form
    32,447.88/48,661.74 = 13,727.60/x
  3. Step 3: Cross multiply
    32,447.88x = 48,661.74 × 13,727.60
  4. Step 4: Simplify right side
    32,447.88x = 668,008,902.02
  5. Step 5: Solve for x
    x = 668,008,902.02/32,447.88
  6. Step 6: Final answer
    x = 20,587.14

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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.