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Finding the Fourth Proportional to 31,120.85, 46,602.44 and 19,297.71

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Solution

The fourth proportional to 31,120.85, 46,602.44 and 19,297.71 is: 28,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,120.85 : 46,602.44 = 19,297.71 : x
  2. Step 2: Convert to fraction form
    31,120.85/46,602.44 = 19,297.71/x
  3. Step 3: Cross multiply
    31,120.85x = 46,602.44 × 19,297.71
  4. Step 4: Simplify right side
    31,120.85x = 899,320,372.41
  5. Step 5: Solve for x
    x = 899,320,372.41/31,120.85
  6. Step 6: Final answer
    x = 28,897.68

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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.