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Finding the Fourth Proportional to 34,412.90, 47,506.49 and 23,078.27

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Solution

The fourth proportional to 34,412.90, 47,506.49 and 23,078.27 is: 31,859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,412.90 : 47,506.49 = 23,078.27 : x
  2. Step 2: Convert to fraction form
    34,412.90/47,506.49 = 23,078.27/x
  3. Step 3: Cross multiply
    34,412.90x = 47,506.49 × 23,078.27
  4. Step 4: Simplify right side
    34,412.90x = 1,096,367,336.59
  5. Step 5: Solve for x
    x = 1,096,367,336.59/34,412.90
  6. Step 6: Final answer
    x = 31,859.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.