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Finding the Fourth Proportional to 31,074.47, 46,611.70 and 10,297.97

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Solution

The fourth proportional to 31,074.47, 46,611.70 and 10,297.97 is: 15,446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,074.47 : 46,611.70 = 10,297.97 : x
  2. Step 2: Convert to fraction form
    31,074.47/46,611.70 = 10,297.97/x
  3. Step 3: Cross multiply
    31,074.47x = 46,611.70 × 10,297.97
  4. Step 4: Simplify right side
    31,074.47x = 480,005,862.17
  5. Step 5: Solve for x
    x = 480,005,862.17/31,074.47
  6. Step 6: Final answer
    x = 15,446.95

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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.