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Finding the Fourth Proportional to 54,029, 74,568.66 and 31,673

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Solution

The fourth proportional to 54,029, 74,568.66 and 31,673 is: 43,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,029 : 74,568.66 = 31,673 : x
  2. Step 2: Convert to fraction form
    54,029/74,568.66 = 31,673/x
  3. Step 3: Cross multiply
    54,029x = 74,568.66 × 31,673
  4. Step 4: Simplify right side
    54,029x = 2,361,813,168.18
  5. Step 5: Solve for x
    x = 2,361,813,168.18/54,029
  6. Step 6: Final answer
    x = 43,713.80

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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.