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Finding the Fourth Proportional to 31,583.68, 47,378.04 and 18,437.38

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Solution

The fourth proportional to 31,583.68, 47,378.04 and 18,437.38 is: 27,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,583.68 : 47,378.04 = 18,437.38 : x
  2. Step 2: Convert to fraction form
    31,583.68/47,378.04 = 18,437.38/x
  3. Step 3: Cross multiply
    31,583.68x = 47,378.04 × 18,437.38
  4. Step 4: Simplify right side
    31,583.68x = 873,526,927.14
  5. Step 5: Solve for x
    x = 873,526,927.14/31,583.68
  6. Step 6: Final answer
    x = 27,657.54

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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.