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Finding the Fourth Proportional to 106,028.65, 159,043.68 and 31,148.50

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Solution

The fourth proportional to 106,028.65, 159,043.68 and 31,148.50 is: 46,722.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,028.65 : 159,043.68 = 31,148.50 : x
  2. Step 2: Convert to fraction form
    106,028.65/159,043.68 = 31,148.50/x
  3. Step 3: Cross multiply
    106,028.65x = 159,043.68 × 31,148.50
  4. Step 4: Simplify right side
    106,028.65x = 4,953,972,066.48
  5. Step 5: Solve for x
    x = 4,953,972,066.48/106,028.65
  6. Step 6: Final answer
    x = 46,722.96

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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.