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Finding the Fourth Proportional to 106,349.94, 159,552.23 and 31,467.06

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Solution

The fourth proportional to 106,349.94, 159,552.23 and 31,467.06 is: 47,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,349.94 : 159,552.23 = 31,467.06 : x
  2. Step 2: Convert to fraction form
    106,349.94/159,552.23 = 31,467.06/x
  3. Step 3: Cross multiply
    106,349.94x = 159,552.23 × 31,467.06
  4. Step 4: Simplify right side
    106,349.94x = 5,020,639,437.21
  5. Step 5: Solve for x
    x = 5,020,639,437.21/106,349.94
  6. Step 6: Final answer
    x = 47,208.67

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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.