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Finding the Fourth Proportional to 32,112.13, 48,187.65 and 13,644.13

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Solution

The fourth proportional to 32,112.13, 48,187.65 and 13,644.13 is: 20,474.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,112.13 : 48,187.65 = 13,644.13 : x
  2. Step 2: Convert to fraction form
    32,112.13/48,187.65 = 13,644.13/x
  3. Step 3: Cross multiply
    32,112.13x = 48,187.65 × 13,644.13
  4. Step 4: Simplify right side
    32,112.13x = 657,478,560.99
  5. Step 5: Solve for x
    x = 657,478,560.99/32,112.13
  6. Step 6: Final answer
    x = 20,474.46

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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.