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Finding the Fourth Proportional to 54,843.68, 75,683.94 and 29,693

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Solution

The fourth proportional to 54,843.68, 75,683.94 and 29,693 is: 40,976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,843.68 : 75,683.94 = 29,693 : x
  2. Step 2: Convert to fraction form
    54,843.68/75,683.94 = 29,693/x
  3. Step 3: Cross multiply
    54,843.68x = 75,683.94 × 29,693
  4. Step 4: Simplify right side
    54,843.68x = 2,247,283,230.42
  5. Step 5: Solve for x
    x = 2,247,283,230.42/54,843.68
  6. Step 6: Final answer
    x = 40,976.16

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1.5x scale

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.