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Finding the Fourth Proportional to 106,450.10, 159,675.81 and 31,570.86

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Solution

The fourth proportional to 106,450.10, 159,675.81 and 31,570.86 is: 47,356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,450.10 : 159,675.81 = 31,570.86 : x
  2. Step 2: Convert to fraction form
    106,450.10/159,675.81 = 31,570.86/x
  3. Step 3: Cross multiply
    106,450.10x = 159,675.81 × 31,570.86
  4. Step 4: Simplify right side
    106,450.10x = 5,041,103,123.29
  5. Step 5: Solve for x
    x = 5,041,103,123.29/106,450.10
  6. Step 6: Final answer
    x = 47,356.49

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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.