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Finding the Fourth Proportional to 32,477.25, 48,724.44 and 13,758.05

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Solution

The fourth proportional to 32,477.25, 48,724.44 and 13,758.05 is: 20,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,477.25 : 48,724.44 = 13,758.05 : x
  2. Step 2: Convert to fraction form
    32,477.25/48,724.44 = 13,758.05/x
  3. Step 3: Cross multiply
    32,477.25x = 48,724.44 × 13,758.05
  4. Step 4: Simplify right side
    32,477.25x = 670,353,351.96
  5. Step 5: Solve for x
    x = 670,353,351.96/32,477.25
  6. Step 6: Final answer
    x = 20,640.70

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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.