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Finding the Fourth Proportional to 106,027.65, 159,042.18 and 31,147.50

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Solution

The fourth proportional to 106,027.65, 159,042.18 and 31,147.50 is: 46,721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,027.65 : 159,042.18 = 31,147.50 : x
  2. Step 2: Convert to fraction form
    106,027.65/159,042.18 = 31,147.50/x
  3. Step 3: Cross multiply
    106,027.65x = 159,042.18 × 31,147.50
  4. Step 4: Simplify right side
    106,027.65x = 4,953,766,301.55
  5. Step 5: Solve for x
    x = 4,953,766,301.55/106,027.65
  6. Step 6: Final answer
    x = 46,721.46

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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.