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Finding the Fourth Proportional to 74,613.36, 111,849.68 and 37,138

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Solution

The fourth proportional to 74,613.36, 111,849.68 and 37,138 is: 55,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,613.36 : 111,849.68 = 37,138 : x
  2. Step 2: Convert to fraction form
    74,613.36/111,849.68 = 37,138/x
  3. Step 3: Cross multiply
    74,613.36x = 111,849.68 × 37,138
  4. Step 4: Simplify right side
    74,613.36x = 4,153,873,230.15
  5. Step 5: Solve for x
    x = 4,153,873,230.15/74,613.36
  6. Step 6: Final answer
    x = 55,671.98

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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.