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Finding the Fourth Proportional to 54,076.86, 74,626.38 and 30,205.62

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Solution

The fourth proportional to 54,076.86, 74,626.38 and 30,205.62 is: 41,683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,076.86 : 74,626.38 = 30,205.62 : x
  2. Step 2: Convert to fraction form
    54,076.86/74,626.38 = 30,205.62/x
  3. Step 3: Cross multiply
    54,076.86x = 74,626.38 × 30,205.62
  4. Step 4: Simplify right side
    54,076.86x = 2,254,136,076.26
  5. Step 5: Solve for x
    x = 2,254,136,076.26/54,076.86
  6. Step 6: Final answer
    x = 41,683.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.