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Finding the Fourth Proportional to 34,123.40, 51,185.10 and 31,358.60

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Solution

The fourth proportional to 34,123.40, 51,185.10 and 31,358.60 is: 47,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,123.40 : 51,185.10 = 31,358.60 : x
  2. Step 2: Convert to fraction form
    34,123.40/51,185.10 = 31,358.60/x
  3. Step 3: Cross multiply
    34,123.40x = 51,185.10 × 31,358.60
  4. Step 4: Simplify right side
    34,123.40x = 1,605,093,076.86
  5. Step 5: Solve for x
    x = 1,605,093,076.86/34,123.40
  6. Step 6: Final answer
    x = 47,037.90

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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.