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Finding the Fourth Proportional to 37,611.40, 56,496.30 and 31,779.40

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Solution

The fourth proportional to 37,611.40, 56,496.30 and 31,779.40 is: 47,736.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,611.40 : 56,496.30 = 31,779.40 : x
  2. Step 2: Convert to fraction form
    37,611.40/56,496.30 = 31,779.40/x
  3. Step 3: Cross multiply
    37,611.40x = 56,496.30 × 31,779.40
  4. Step 4: Simplify right side
    37,611.40x = 1,795,418,516.22
  5. Step 5: Solve for x
    x = 1,795,418,516.22/37,611.40
  6. Step 6: Final answer
    x = 47,736.02

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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.