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Finding the Fourth Proportional to 106,744.68, 160,111.55 and 31,865.45

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Solution

The fourth proportional to 106,744.68, 160,111.55 and 31,865.45 is: 47,796.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,744.68 : 160,111.55 = 31,865.45 : x
  2. Step 2: Convert to fraction form
    106,744.68/160,111.55 = 31,865.45/x
  3. Step 3: Cross multiply
    106,744.68x = 160,111.55 × 31,865.45
  4. Step 4: Simplify right side
    106,744.68x = 5,102,025,870.05
  5. Step 5: Solve for x
    x = 5,102,025,870.05/106,744.68
  6. Step 6: Final answer
    x = 47,796.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.