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Finding the Fourth Proportional to 31,074.44, 46,611.98 and 7,700.84

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Solution

The fourth proportional to 31,074.44, 46,611.98 and 7,700.84 is: 11,551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,074.44 : 46,611.98 = 7,700.84 : x
  2. Step 2: Convert to fraction form
    31,074.44/46,611.98 = 7,700.84/x
  3. Step 3: Cross multiply
    31,074.44x = 46,611.98 × 7,700.84
  4. Step 4: Simplify right side
    31,074.44x = 358,951,400.06
  5. Step 5: Solve for x
    x = 358,951,400.06/31,074.44
  6. Step 6: Final answer
    x = 11,551.34

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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.