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Finding the Fourth Proportional to 106,808.50, 160,174.44 and 31,914.69

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Solution

The fourth proportional to 106,808.50, 160,174.44 and 31,914.69 is: 47,860.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,808.50 : 160,174.44 = 31,914.69 : x
  2. Step 2: Convert to fraction form
    106,808.50/160,174.44 = 31,914.69/x
  3. Step 3: Cross multiply
    106,808.50x = 160,174.44 × 31,914.69
  4. Step 4: Simplify right side
    106,808.50x = 5,111,917,598.52
  5. Step 5: Solve for x
    x = 5,111,917,598.52/106,808.50
  6. Step 6: Final answer
    x = 47,860.59

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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.