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Finding the Fourth Proportional to 132,744.70, 199,085.60 and 37,971.96

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Solution

The fourth proportional to 132,744.70, 199,085.60 and 37,971.96 is: 56,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,744.70 : 199,085.60 = 37,971.96 : x
  2. Step 2: Convert to fraction form
    132,744.70/199,085.60 = 37,971.96/x
  3. Step 3: Cross multiply
    132,744.70x = 199,085.60 × 37,971.96
  4. Step 4: Simplify right side
    132,744.70x = 7,559,670,439.78
  5. Step 5: Solve for x
    x = 7,559,670,439.78/132,744.70
  6. Step 6: Final answer
    x = 56,948.94

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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.