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Finding the Fourth Proportional to 32,480.08, 48,725.20 and 13,760.16

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Solution

The fourth proportional to 32,480.08, 48,725.20 and 13,760.16 is: 20,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,480.08 : 48,725.20 = 13,760.16 : x
  2. Step 2: Convert to fraction form
    32,480.08/48,725.20 = 13,760.16/x
  3. Step 3: Cross multiply
    32,480.08x = 48,725.20 × 13,760.16
  4. Step 4: Simplify right side
    32,480.08x = 670,466,548.03
  5. Step 5: Solve for x
    x = 670,466,548.03/32,480.08
  6. Step 6: Final answer
    x = 20,642.39

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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.