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Finding the Fourth Proportional to 32,738.67, 45,178.17 and 20,013.17

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Solution

The fourth proportional to 32,738.67, 45,178.17 and 20,013.17 is: 27,617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,738.67 : 45,178.17 = 20,013.17 : x
  2. Step 2: Convert to fraction form
    32,738.67/45,178.17 = 20,013.17/x
  3. Step 3: Cross multiply
    32,738.67x = 45,178.17 × 20,013.17
  4. Step 4: Simplify right side
    32,738.67x = 904,158,170.61
  5. Step 5: Solve for x
    x = 904,158,170.61/32,738.67
  6. Step 6: Final answer
    x = 27,617.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.