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Finding the Fourth Proportional to 100,381.44, 138,528 and 57,943.68

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Solution

The fourth proportional to 100,381.44, 138,528 and 57,943.68 is: 79,963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,381.44 : 138,528 = 57,943.68 : x
  2. Step 2: Convert to fraction form
    100,381.44/138,528 = 57,943.68/x
  3. Step 3: Cross multiply
    100,381.44x = 138,528 × 57,943.68
  4. Step 4: Simplify right side
    100,381.44x = 8,026,822,103.04
  5. Step 5: Solve for x
    x = 8,026,822,103.04/100,381.44
  6. Step 6: Final answer
    x = 79,963.21

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