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Finding the Fourth Proportional to 97,668.27, 146,524.50 and 31,112.19

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Solution

The fourth proportional to 97,668.27, 146,524.50 and 31,112.19 is: 46,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,668.27 : 146,524.50 = 31,112.19 : x
  2. Step 2: Convert to fraction form
    97,668.27/146,524.50 = 31,112.19/x
  3. Step 3: Cross multiply
    97,668.27x = 146,524.50 × 31,112.19
  4. Step 4: Simplify right side
    97,668.27x = 4,558,698,083.66
  5. Step 5: Solve for x
    x = 4,558,698,083.66/97,668.27
  6. Step 6: Final answer
    x = 46,675.32

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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.