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Finding the Fourth Proportional to 31,676.60, 47,588.40 and 29,976

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Solution

The fourth proportional to 31,676.60, 47,588.40 and 29,976 is: 45,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,676.60 : 47,588.40 = 29,976 : x
  2. Step 2: Convert to fraction form
    31,676.60/47,588.40 = 29,976/x
  3. Step 3: Cross multiply
    31,676.60x = 47,588.40 × 29,976
  4. Step 4: Simplify right side
    31,676.60x = 1,426,509,878.40
  5. Step 5: Solve for x
    x = 1,426,509,878.40/31,676.60
  6. Step 6: Final answer
    x = 45,033.55

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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.