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Finding the Fourth Proportional to 100,015.40, 138,021.24 and 54,693.41

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Solution

The fourth proportional to 100,015.40, 138,021.24 and 54,693.41 is: 75,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,015.40 : 138,021.24 = 54,693.41 : x
  2. Step 2: Convert to fraction form
    100,015.40/138,021.24 = 54,693.41/x
  3. Step 3: Cross multiply
    100,015.40x = 138,021.24 × 54,693.41
  4. Step 4: Simplify right side
    100,015.40x = 7,548,852,613.08
  5. Step 5: Solve for x
    x = 7,548,852,613.08/100,015.40
  6. Step 6: Final answer
    x = 75,476.91

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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.