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Finding the Fourth Proportional to 106,744.65, 160,144.72 and 31,864.81

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Solution

The fourth proportional to 106,744.65, 160,144.72 and 31,864.81 is: 47,805.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,744.65 : 160,144.72 = 31,864.81 : x
  2. Step 2: Convert to fraction form
    106,744.65/160,144.72 = 31,864.81/x
  3. Step 3: Cross multiply
    106,744.65x = 160,144.72 × 31,864.81
  4. Step 4: Simplify right side
    106,744.65x = 5,102,980,895.55
  5. Step 5: Solve for x
    x = 5,102,980,895.55/106,744.65
  6. Step 6: Final answer
    x = 47,805.49

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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.