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Finding the Fourth Proportional to 32,125.51, 48,188.25 and 13,414.36

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Solution

The fourth proportional to 32,125.51, 48,188.25 and 13,414.36 is: 20,121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,125.51 : 48,188.25 = 13,414.36 : x
  2. Step 2: Convert to fraction form
    32,125.51/48,188.25 = 13,414.36/x
  3. Step 3: Cross multiply
    32,125.51x = 48,188.25 × 13,414.36
  4. Step 4: Simplify right side
    32,125.51x = 646,414,533.27
  5. Step 5: Solve for x
    x = 646,414,533.27/32,125.51
  6. Step 6: Final answer
    x = 20,121.53

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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.