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Finding the Fourth Proportional to 106,328.38, 159,523.76 and 31,450.50

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Solution

The fourth proportional to 106,328.38, 159,523.76 and 31,450.50 is: 47,184.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,328.38 : 159,523.76 = 31,450.50 : x
  2. Step 2: Convert to fraction form
    106,328.38/159,523.76 = 31,450.50/x
  3. Step 3: Cross multiply
    106,328.38x = 159,523.76 × 31,450.50
  4. Step 4: Simplify right side
    106,328.38x = 5,017,102,013.88
  5. Step 5: Solve for x
    x = 5,017,102,013.88/106,328.38
  6. Step 6: Final answer
    x = 47,184.98

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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.