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Finding the Fourth Proportional to 74,260.16, 111,419.40 and 32,678

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Solution

The fourth proportional to 74,260.16, 111,419.40 and 32,678 is: 49,029.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,260.16 : 111,419.40 = 32,678 : x
  2. Step 2: Convert to fraction form
    74,260.16/111,419.40 = 32,678/x
  3. Step 3: Cross multiply
    74,260.16x = 111,419.40 × 32,678
  4. Step 4: Simplify right side
    74,260.16x = 3,640,963,153.20
  5. Step 5: Solve for x
    x = 3,640,963,153.20/74,260.16
  6. Step 6: Final answer
    x = 49,029.83

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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.